| Base | Representation |
|---|---|
| bin | 1100101111000… |
| … | …11010001000000 |
| 3 | 21110000212220000 |
| 4 | 12113203101000 |
| 5 | 204322241211 |
| 6 | 14333520000 |
| 7 | 2435046204 |
| oct | 627432100 |
| 9 | 243025800 |
| 10 | 106837056 |
| 11 | 55341297 |
| 12 | 2b943000 |
| 13 | 191987c1 |
| 14 | 10290b04 |
| 15 | 95a5656 |
| hex | 65e3440 |
106837056 has 140 divisors (see below), whose sum is σ = 325841868. Its totient is φ = 34587648.
The previous prime is 106837051. The next prime is 106837079. The reversal of 106837056 is 650738601.
It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 54997056 = 7200^2 + 7416^2 .
It is a super-2 number, since 2×1068370562 = 22828313069494272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 106837056.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106837051) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191530 + ... + 192086.
Almost surely, 2106837056 is an apocalyptic number.
106837056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162920934).
106837056 is an abundant number, since it is smaller than the sum of its proper divisors (219004812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106837056 is an equidigital number, since it uses as much as digits as its factorization.
106837056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 618 (or 599 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 106837056 is about 10336.2012364311. The cubic root of 106837056 is about 474.5048298737.
The spelling of 106837056 in words is "one hundred six million, eight hundred thirty-seven thousand, fifty-six".
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