The number 106
106 is a composite number with 4 divisors. Its prime factorisation is 2 × 53. Divisors (4): 1, 2, 53, 106.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 106: a semiprime: 2 × 53, the product of two primes.
- 2
106 is composite. Its prime factorisation is
- 3
The divisors add up to 162; without 106 itself that is 56, so 106 is deficient (56 is less than 106). Euler's totient φ(106) = 52 numbers up to 106 share no factor with it.
- 4
The digits of 106 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 12 steps to reach 1.
LaTeX source of the formulas on this page
\[ 106 = 2 \times 53 \]
106 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 162 |
| Euler totient φ(n) | 52 |
| Square | 11236 |
| Cube | 1191016 |
| Square root | 10.295630 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 12 |
| Scientific notation | 1.06 × |
106 in other forms
| Form | Value |
|---|---|
| In words | one hundred and six |
| Roman numerals | CVI |
| Binary (base 2) | 1101010 |
| Octal (base 8) | 152 |
| Hexadecimal (base 16) | 6A |
| Base 3 | 10221 |
| As time | 106 seconds = 1 min 46 s |
Is 106 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (106 ÷ 2 = 53) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 106 a prime number?
No. 106 = 2 × 53, so it is divisible by 2.
What are the factors of 106?
1, 2, 53, 106.
What is 106 in binary?
1101010 (hexadecimal 6A, octal 152).
What is the square root of 106?
About 10.2956.
What is 106 in Roman numerals?
CVI.
Is 106 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 106?
106 is a semiprime: 2 × 53, the product of two primes.