| Base | Representation |
|---|---|
| bin | 110001001000101011… |
| … | …0111101110110000000 |
| 3 | 101002100201121022211000 |
| 4 | 1202101112331312000 |
| 5 | 3212100042310104 |
| 6 | 120250235252000 |
| 7 | 10423555423350 |
| oct | 1422126756600 |
| 9 | 332321538730 |
| 10 | 105517931904 |
| 11 | 40828138000 |
| 12 | 185498aa000 |
| 13 | 9c47a613c8 |
| 14 | 516dc24b60 |
| 15 | 2b2889c639 |
| hex | 18915bdd80 |
105517931904 has 1024 divisors, whose sum is σ = 408561408000. Its totient is φ = 26227998720.
The previous prime is 105517931903. The next prime is 105517931929. The reversal of 105517931904 is 409139715501.
105517931904 is a `hidden beast` number, since 1 + 0 + 551 + 7 + 9 + 3 + 1 + 90 + 4 = 666.
It is a super-2 number, since 2×1055179319042 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 105517931904.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105517931903) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 933786952 + ... + 933787064.
It is an arithmetic number, because the mean of its divisors is an integer number (398985750).
Almost surely, 2105517931904 is an apocalyptic number.
105517931904 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 105517931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204280704000).
105517931904 is an abundant number, since it is smaller than the sum of its proper divisors (303043476096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105517931904 is a wasteful number, since it uses less digits than its factorization.
105517931904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 205 (or 165 counting only the distinct ones).
The product of its (nonzero) digits is 170100, while the sum is 45.
The spelling of 105517931904 in words is "one hundred five billion, five hundred seventeen million, nine hundred thirty-one thousand, nine hundred four".
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