The number 107
107 is a twin prime (107 and 109 are both prime), the 28th prime number and a binary palindrome (1101011). Its only divisors are 1 and 107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 107: a twin prime (107 and 109 are both prime); the 28th prime number; a binary palindrome (1101011).
- 2
107 is prime, so its only factors are 1 and 107. It is the 28th prime; the next prime is 109 and the one before is 103.
- 3
The divisors add up to 108; without 107 itself that is 1, so 107 is deficient (1 is less than 107). Euler's totient φ(107) = 106 numbers up to 107 share no factor with it.
- 4
The digits of 107 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
107 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 108 |
| Euler totient φ(n) | 106 |
| Square | 11449 |
| Cube | 1225043 |
| Square root | 10.344080 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 100 |
| Scientific notation | 1.07 × |
107 in other forms
| Form | Value |
|---|---|
| In words | one hundred and seven |
| Roman numerals | CVII |
| Binary (base 2) | 1101011 |
| Octal (base 8) | 153 |
| Hexadecimal (base 16) | 6B |
| Base 3 | 10222 |
| As time | 107 seconds = 1 min 47 s |
Is 107 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 107 a prime number?
Yes. 107 is divisible only by 1 and itself.
What are the factors of 107?
1, 107.
What is 107 in binary?
1101011 (hexadecimal 6B, octal 153).
What is the square root of 107?
About 10.3441.
What is 107 in Roman numerals?
CVII.
Is 107 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 107?
107 is a twin prime (107 and 109 are both prime); the 28th prime number; a binary palindrome (1101011).