| Base | Representation |
|---|---|
| bin | 10111111000110010110011… |
| … | …010001111010000100111000 |
| 3 | 111202222102211020022120001200 |
| 4 | 113320302303101322010320 |
| 5 | 102232232043404014102 |
| 6 | 1011234534150014200 |
| 7 | 31062116615550600 |
| oct | 2770626321720470 |
| 9 | 452872736276050 |
| 10 | 105057907876152 |
| 11 | 30524899162120 |
| 12 | b948b14947360 |
| 13 | 4680bc23a648a |
| 14 | 1bd2b89251c00 |
| 15 | c22be5c3551c |
| hex | 5f8cb347a138 |
105057907876152 has 576 divisors, whose sum is σ = 376832533240800. Its totient is φ = 26113621524480.
The previous prime is 105057907876099. The next prime is 105057907876157. The reversal of 105057907876152 is 251678709750501.
It is a happy number.
105057907876152 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 7 + 9 + 0 + 7 + 8 + 7 + 615 + 2 = 666.
It is a super-2 number, since 2×1050579078761522 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 105057907876152.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105057907876157) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126760768 + ... + 127586864.
Almost surely, 2105057907876152 is an apocalyptic number.
105057907876152 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 105057907876152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188416266620400).
105057907876152 is an abundant number, since it is smaller than the sum of its proper divisors (271774625364648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105057907876152 is a wasteful number, since it uses less digits than its factorization.
105057907876152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 826276 (or 826262 counting only the distinct ones).
The product of its (nonzero) digits is 37044000, while the sum is 63.
The spelling of 105057907876152 in words is "one hundred five trillion, fifty-seven billion, nine hundred seven million, eight hundred seventy-six thousand, one hundred fifty-two".
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