Numberwise

108

108 is considered a sacred number in Hindu and Buddhist tradition, notably in the 108 beads of a mala.

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Where 108 fits

Where 108 fits: Mathematics, Science, Technology, Culture & beliefMathematics: Powerful number, Harshad (Niven) number. Science: Sun–Earth astronomical ratios, Space and astronomy. Technology: Radio and communications. Culture & belief: Culture and belief, Hindu and Buddhist tradition.MathematicsPowerful numberHarshad (Niven) numberScienceSun–Earth astronomical rati…Space and astronomyTechnologyRadio and communicationsCulture & beliefCulture and beliefHindu and Buddhist tradition108
108 connects to 4 worlds: mathematics, science, technology, culture & belief.

Why 108 is special

108 is a fixed count rather than a loose association: 108 beads on a mala, 108 Upanishads in the Muktikā canon, 108 Divya Desams in Sri Vaishnava tradition, and 108 bells rung at Japanese temples on New Year's Eve. Why the number itself is 108 is explained differently by different traditions and none of those explanations is documented as the original. Unconnected to any of it, a baseball closes with 108 stitches and a regular pentagon's interior angle is 108°.

108 connects to:

  • sun earth astronomical ratios has scientific association with
  • circle geometry appears in
  • numbers in space appears in
  • numbers in radio and communications appears in
  • numbers in culture and belief appears in
  • hindu buddhist tradition is culturally significant in

Same number, different meanings

How 108 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (12)
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Prime factorisation
2^2 × 3^3
Digit sum
9
Digital root
9

Representations

Decimal
108
Scientific notation
1.080 × 10^2

Roman numerals

C V I I I

Binary

1 1 0 1 1 0 0

1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 108

Octal

1 5 4

1 × 64 + 5 × 8 + 4 × 1 = 108

Hexadecimal

6 c

6 × 16 + c × 1 = 108

Read as powers of two: 64 + 32 + 8 + 4 = 108.

In historical numeral systems

Egyptian

1 coil of rope, 8 strokes

1 × 100 + 8 × 1 = 108. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 vertical wedge (sixties place), 4 corner wedges + 8 vertical wedges (units place)

1 × 60 + 48 = 108. Places are separated by a space on the tablet, with the higher place written first.

Greek (Ionic)

rho, then eta, marked as a numeral

rho-eta + keraia

rho + eta written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.

Hebrew numerals

qof, then het

qof-het

qof (100) + het (8) = 108, written in descending order.

Maya

1 bar (upper, twenties place) over 1 bar + 3 dots (lower, units place)

5 × 20 + 8 = 108. Places stack vertically with the smallest at the bottom, so the upper group is worth twenty times the lower.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Abundant number
  • Powerful number
  • Harshad (Niven) number

Related numbers & connections

Scientific identity
108 is popularly, but imprecisely, cited as an approximate Sun–Earth astronomical ratio.

108 is popularly, but imprecisely, cited as an approximate Sun–Earth astronomical ratio.

Documented appearance
108° is the interior angle of a regular pentagon, following from the 360° of exterior turning shared by every polygon.

108° is the interior angle of a regular pentagon, following from the 360° of exterior turning shared by every polygon.

Cultural association
108 is a sacred number in Hindu and Buddhist tradition, notably the count of beads on a mala.

108 is a sacred number in Hindu and Buddhist tradition, notably the count of beads on a mala.

Scientific association

  • has scientific association withSun–Earth astronomical ratios
    why?

    Strength 0.50, confidence "low".

Numbers Around Us

  • appears inCircle geometry
    why?

    Strength 0.50, confidence "high".

  • appears inSpace and astronomy
    why?

    Strength 0.50, confidence "high".

  • appears inRadio and communications
    why?

    Strength 0.50, confidence "high".

  • appears inCulture and belief
    why?

    Strength 0.50, confidence "high".

Culturally related

  • is culturally significant inHindu and Buddhist tradition
    why?

    Strength 0.50, confidence "high".

How is 108 connected to another number? →

Culture

  • Buddhist temples across Japan ring a bell 108 times at midnight on New Year's Eve, a practice called Joya no Kane, the strikes corresponding to the 108 bonnō — the earthly desires or afflictions of Buddhist teaching. The broadcast of the ringing is a fixture of Japanese New Year television. The count is shared with the mala's beads and with Chinese and Korean temple practice, which is why 108 recurs across Buddhist cultures that otherwise share little liturgy.

    DocumentedCultureCulture: Japanese Buddhist traditionGeography: Japan
  • A mala used for counting recitations traditionally carries 108 beads, a convention shared by Hindu, Buddhist and Jain practice across South Asia and the Tibetan and East Asian Buddhist world. The bead count is a practical counting device: one circuit of the mala marks 108 repetitions of a mantra or name.

    DocumentedCultureCulture: Hindu, Buddhist and JainGeography: South Asia, Tibet and East Asia

Technology & computing

  • The top of the FM broadcast band is 108 megahertz (ITU Regions 1 and 2).

    DocumentedTechnology & computingGeography: ITU Regions 1 and 2

Science

  • The average distance from the Sun to Venus is about 108 million kilometres (the Solar System). Venus has the most circular orbit of any planet, so unlike Mercury this figure barely varies.

    DocumentedScienceGeography: the Solar System
  • 108 is sometimes cited as an approximate ratio between the Sun's diameter and Earth's diameter, and separately between the Earth–Sun distance and the Sun's diameter. These are popularised approximations rather than precise astronomical constants, and the degree of coincidence is disputed.

    DisputedScience

Religion & belief

  • 108 recurs as a fixed count in specific named canons rather than only as a general association: the Muktikā canon lists 108 Upanishads, and Sri Vaishnava tradition recognises 108 Divya Desams — temples celebrated in the Tamil Nalayira Divya Prabandham. These are documented enumerations. Explanations offered for why the count itself is 108 are interpretive and vary between traditions, and are not recorded here as fact.

    DocumentedReligion & beliefCulture: Hindu (Muktikā canon; Sri Vaishnava tradition)Geography: India
  • 108 is considered a sacred number in Hindu and Buddhist tradition; a traditional mala (prayer bead string) has 108 beads, and 108 recurs in the naming of scriptures, temple steps and ritual repetitions.

    Widely documentedReligion & beliefCulture: Hindu and Buddhist
  • In Hindu, Buddhist and Jain practice, a mala of one hundred and eight beads is used to count recitations. The number is explained several ways within the traditions themselves — as the product of nine and twelve, as a count of Upanishads, as an astronomical ratio — and no single explanation is authoritative. That there are competing explanations is itself part of the record.

    Tradition / practiceReligion & beliefCulture: Hindu, Buddhist and Jain practice

    Presented as belief or tradition, not as an established fact.

Sport

  • A regulation baseball is closed with 108 double stitches of waxed red thread, sewn by hand — the seams have never been successfully machine-stitched at the required tolerance. The figure is fixed by the specification and by the fixed shape of the two figure-eight leather panels, so it is a manufacturing constant rather than a tradition. It is unrelated to the number's religious significance, and the two are frequently conflated online.

    DocumentedSportGeography: United States

Mathematics

  • Each interior angle of a regular pentagon measures 108°, which follows directly from the exterior angles of any polygon totalling 360: five turns of 72° leave 108° inside at each corner. 108 is also 2² × 3³, and it is the smallest number that is the product of a square and a cube of distinct primes in this arrangement — but the pentagon is the fact a reader can check with a protractor.

    DocumentedMathematics

Common questions

Why does a mala have 108 beads?

108 is a fixed count across Hindu, Buddhist and Jain practice, and the bead string is a counting device: one circuit marks 108 repetitions of a mantra. The count recurs in named enumerations too — the Muktikā canon lists 108 Upanishads, and Sri Vaishnava tradition recognises 108 Divya Desams. Explanations offered for why the number is 108 vary between traditions and none is documented as the original reason.

Why does a baseball have 108 stitches?

It follows from the specification and the fixed shape of the two figure-eight leather panels, which close with 108 double stitches of waxed red thread. They are still sewn by hand, because the seams have never been machine-stitched to the required tolerance. It has nothing to do with the number's religious significance, though the two are often conflated.

Is 108 a prime number?

No, 108 is not prime.

What are the factors of 108?

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.

What is 108 in Roman numerals?

108 in Roman numerals is CVIII.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 10 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026