Numberwise

110

110 is the police emergency number in Germany, Japan and China, and the fire number in several other countries.

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Where 110 fits

Where 110 fits: Mathematics, Everyday systems, Related numbersMathematics: Harshad (Niven) number. Everyday systems: Emergency telephone numbers. Related numbers: 3000, 119, 112, 105.MathematicsHarshad (Niven) numberEveryday systemsEmergency telephone numbersRelated numbers3000119112105110
110 connects to 3 worlds: mathematics, everyday systems, related numbers.

Why 110 is special

110 is one of the most widely used emergency numbers in the world, and one of the least known outside the countries that use it. Germany, Japan and China all route it to police; Japan pairs it with 119 for fire and ambulance, a split that dates from the 1940s. Unlike 112, it is national rather than international — dialling it outside those countries reaches nothing.

110 connects to:

  • 3000 appears alongside
  • 119 appears alongside
  • emergency telephone numbers is used by
  • 112 contrasts with
  • 105 contrasts with

Factors & digit properties

Divisors (8)
1, 2, 5, 10, 11, 22, 55, 110
Prime factorisation
2 × 5 × 11
Digit sum
2
Digital root
2

Representations

Decimal
110
Scientific notation
1.100 × 10^2

Roman numerals

C X

Binary

1 1 0 1 1 1 0

1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 110

Octal

1 5 6

1 × 64 + 5 × 8 + 6 × 1 = 110

Hexadecimal

6 e

6 × 16 + e × 1 = 110

Read as powers of two: 64 + 32 + 8 + 4 + 2 = 110.

In historical numeral systems

Egyptian

1 coil of rope, 1 hobble

1 × 100 + 1 × 10 = 110. 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), 5 corner wedges (units place)

1 × 60 + 50 = 110. Places are separated by a space on the tablet, with the higher place written first.

Greek (Ionic)

rho, then iota, marked as a numeral

rho-iota + keraia

rho + iota 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 yod

qof-yod

qof (100) + yod (10) = 110, written in descending order.

Maya

1 bar (upper, twenties place) over 2 bars (lower, units place)

5 × 20 + 10 = 110. 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

  • Deficient number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
Both are Olympic obstacle events with opposite designs: 110 m hurdles clear ten barriers that tip when struck, the 3,000 m steeplechase 28 that do not.

Both are Olympic obstacle events with opposite designs: 110 m hurdles clear ten barriers that tip when struck, the 3,000 m steeplechase 28 that do not.

View 3000
Connection
Both are live in Germany and they are not interchangeable: 110 reaches police, 112 reaches fire and ambulance and works across the EU. A caller who dials the wrong one is not stuck, but the call is transferred rather than answered by the right desk first.

Both are live in Germany and they are not interchangeable: 110 reaches police, 112 reaches fire and ambulance and works across the EU. A caller who dials the wrong one is not stuck, but the call is transferred rather than answered by the right desk first.

View 112

Numbers Around Us

  • appears alongside3000
    why?

    Strength 0.50, confidence "high".

  • appears alongside119
    why?

    Strength 0.50, confidence "high".

  • is used byEmergency telephone numbers
    why?

    Strength 0.50, confidence "high".

Other connections

  • contrasts with112
    why?

    Strength 0.50, confidence "high".

  • contrasts with105
    why?

    Strength 0.50, confidence "high".

How is 110 connected to another number? →

Everyday life

  • In Germany, Japan and China, 110 reaches police and 112 or 119 reaches fire and ambulance — the split is deliberate, so a caller reporting a crime is not queued behind a medical dispatcher. Germany runs 110 alongside the European 112, which is why both work there and neither has replaced the other.

    DocumentedEveryday lifeGeography: Germany, Japan and China

Geography

  • 110 is a national assignment, not an international one. Unlike 112, which the GSM standard requires handsets to recognise almost anywhere, dialling 110 outside the countries that assign it reaches nothing in particular. A traveller who has learned one country's emergency number has learned exactly that country's.

    DocumentedGeographyGeography: national assignments only

Finance & economics

  • There are about 110 trillion US dollars of value in the world's listed companies. Figure as of 2024. Comparable to a year of world output, which is a coincidence of scale rather than a relationship: one is a stock and the other a flow.

    DocumentedFinance & economicsGeography: worldwide

Common questions

Is 110 a prime number?

No, 110 is not prime.

What are the factors of 110?

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110.

What is 110 in Roman numerals?

110 in Roman numerals is CX.

About this page's data

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

Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026