| Base | Representation |
|---|---|
| bin | 1100100011010… |
| … | …11000110000000 |
| 3 | 21100010121022100 |
| 4 | 12101223012000 |
| 5 | 203423440011 |
| 6 | 14240510400 |
| 7 | 2416001112 |
| oct | 621530600 |
| 9 | 240117270 |
| 10 | 105296256 |
| 11 | 544896aa |
| 12 | 2b31b400 |
| 13 | 18a793a0 |
| 14 | ddad3b2 |
| 15 | 939dd56 |
| hex | 646b180 |
105296256 has 192 divisors, whose sum is σ = 334152000. Its totient is φ = 31629312.
The previous prime is 105296251. The next prime is 105296299. The reversal of 105296256 is 652692501.
105296256 is a `hidden beast` number, since 1 + 0 + 5 + 29 + 625 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×1052962562 = 22174603055235072, 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 105296256.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105296251) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183060 + ... + 1183148.
It is an arithmetic number, because the mean of its divisors is an integer number (1740375).
Almost surely, 2105296256 is an apocalyptic number.
105296256 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 105296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).
105296256 is an abundant number, since it is smaller than the sum of its proper divisors (228855744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105296256 is a wasteful number, since it uses less digits than its factorization.
105296256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 201 (or 186 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
The square root of 105296256 is about 10261.3963962026. The cubic root of 105296256 is about 472.2126782621.
The spelling of 105296256 in words is "one hundred five million, two hundred ninety-six thousand, two hundred fifty-six".
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