| Base | Representation |
|---|---|
| bin | 110000111011100000… |
| … | …1000011101111000100 |
| 3 | 101001012220222220111100 |
| 4 | 1201313001003233010 |
| 5 | 3210143422400002 |
| 6 | 120134330540100 |
| 7 | 10406611050444 |
| oct | 1416701035704 |
| 9 | 331186886440 |
| 10 | 105075981252 |
| 11 | 40620719a30 |
| 12 | 18445897630 |
| 13 | 9ba7322448 |
| 14 | 512b260124 |
| 15 | 2aeeb9e11c |
| hex | 1877043bc4 |
105075981252 has 288 divisors, whose sum is σ = 311039688960. Its totient is φ = 29593175040.
The previous prime is 105075981247. The next prime is 105075981277. The reversal of 105075981252 is 252189570501.
105075981252 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 7 + 598 + 1 + 2 + 52 = 666.
105075981252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1050759812522 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105075981198 and 105075981207.
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 95 ways as a sum of consecutive naturals, for example, 52615918 + ... + 52617914.
It is an arithmetic number, because the mean of its divisors is an integer number (1079998920).
Almost surely, 2105075981252 is an apocalyptic number.
105075981252 is a gapful number since it is divisible by the number (12) 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 105075981252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155519844480).
105075981252 is an abundant number, since it is smaller than the sum of its proper divisors (205963707708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105075981252 is a wasteful number, since it uses less digits than its factorization.
105075981252 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2203 (or 2198 counting only the distinct ones).
The product of its (nonzero) digits is 252000, while the sum is 45.
The spelling of 105075981252 in words is "one hundred five billion, seventy-five million, nine hundred eighty-one thousand, two hundred fifty-two".
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