The number 10109
10109 is a composite number with 4 divisors. Its prime factorisation is 11 × 919. Divisors (4): 1, 11, 919, 10109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10109: a Harshad number: divisible by its digit sum 11; a semiprime: 11 × 919, the product of two primes.
- 2
10109 is composite. Its prime factorisation is
- 3
The divisors add up to 11040; without 10109 itself that is 931, so 10109 is deficient (931 is less than 10109). Euler's totient φ(10109) = 9180 numbers up to 10109 share no factor with it.
- 4
The digits of 10109 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10109 = 11 \times 919 \]
10109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11040 |
| Euler totient φ(n) | 9180 |
| Square | 102191881 |
| Cube | 1033057725029 |
| Square root | 100.543523 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 179 |
| Scientific notation | 1.0109 × |
10109 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and nine |
| Binary (base 2) | 10011101111101 |
| Octal (base 8) | 23575 |
| Hexadecimal (base 16) | 277D |
| Base 3 | 111212102 |
| As time | 10109 seconds = 2 h 48 min 29 s |
Is 10109 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 5) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (10109 ÷ 11 = 919) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10109 a prime number?
No. 10109 = 11 × 919, so it is divisible by 11.
What are the factors of 10109?
1, 11, 919, 10109.
What is 10109 in binary?
10011101111101 (hexadecimal 277D, octal 23575).
What is the square root of 10109?
About 100.5435.
Is 10109 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 10109?
10109 is a Harshad number: divisible by its digit sum 11; a semiprime: 11 × 919, the product of two primes.