The number 110
110 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 11. Divisors (8): 1, 2, 5, 10, 11, 22, 55, 110.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 110: a Harshad number: divisible by its digit sum 2.
- 2
110 is composite. Its prime factorisation is
- 3
The divisors add up to 216; without 110 itself that is 106, so 110 is deficient (106 is less than 110). Euler's totient φ(110) = 40 numbers up to 110 share no factor with it.
- 4
The digits of 110 add up to 2, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 110 = 2 \times 5 \times 11 \]
110 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 216 |
| Euler totient φ(n) | 40 |
| Square | 12100 |
| Cube | 1331000 |
| Square root | 10.488088 |
| Digit sum / digital root | 2 / 2 |
| Collatz steps to 1 | 113 |
| Scientific notation | 1.1 × |
110 in other forms
| Form | Value |
|---|---|
| In words | one hundred and ten |
| Roman numerals | CX |
| Binary (base 2) | 1101110 |
| Octal (base 8) | 156 |
| Hexadecimal (base 16) | 6E |
| Base 3 | 11002 |
| As time | 110 seconds = 1 min 50 s |
Is 110 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (110 ÷ 2 = 55) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (110 ÷ 5 = 22) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (110 ÷ 10 = 11) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (110 ÷ 11 = 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 110 a prime number?
No. 110 = 2 × 5 × 11, so it is divisible by 2.
What are the factors of 110?
1, 2, 5, 10, 11, 22, 55, 110.
What is 110 in binary?
1101110 (hexadecimal 6E, octal 156).
What is the square root of 110?
About 10.4881.
What is 110 in Roman numerals?
CX.
Is 110 divisible by 3?
No. Its digits add up to 2, which is not a multiple of 3.
What is special about the number 110?
110 is a Harshad number: divisible by its digit sum 2.