| Base | Representation |
|---|---|
| bin | 110001101001001011… |
| … | …0011111010011000000 |
| 3 | 101012011201101002002000 |
| 4 | 1203102112133103000 |
| 5 | 3221313212411244 |
| 6 | 120550350224000 |
| 7 | 10462565550360 |
| oct | 1432226372300 |
| 9 | 335151332060 |
| 10 | 106608325824 |
| 11 | 41237691100 |
| 12 | 187b2ab5000 |
| 13 | a08c92a900 |
| 14 | 52349829a0 |
| 15 | 2b8e487169 |
| hex | 18d259f4c0 |
106608325824 has 1008 divisors, whose sum is σ = 427307166720. Its totient is φ = 25501132800.
The previous prime is 106608325801. The next prime is 106608325871. The reversal of 106608325824 is 428523806601.
106608325824 is a `hidden beast` number, since 1 + 0 + 6 + 60 + 8 + 3 + 2 + 582 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a super-5 number, since 5×1066083258245 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 106608325824.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247350889 + ... + 247351319.
It is an arithmetic number, because the mean of its divisors is an integer number (423915840).
Almost surely, 2106608325824 is an apocalyptic number.
106608325824 is a gapful number since it is divisible by the number (14) 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 106608325824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213653583360).
106608325824 is an abundant number, since it is smaller than the sum of its proper divisors (320698840896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106608325824 is a wasteful number, since it uses less digits than its factorization.
106608325824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 507 (or 467 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 106608325824 in words is "one hundred six billion, six hundred eight million, three hundred twenty-five thousand, eight hundred twenty-four".
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