100265256 has 128 divisors (see below), whose sum is σ = 342854400. Its totient is φ = 26438400.

The previous prime is 100265183. The next prime is 100265309. The reversal of 100265256 is 652562001.

100265256 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 652 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17106 + ... + 22206.

It is an arithmetic number, because the mean of its divisors is an integer number (2678550).

Almost surely, 2^100265256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100265256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171427200).

100265256 is an abundant number, since it is smaller than the sum of its proper divisors (242589144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100265256 is a wasteful number, since it uses less digits than its factorization.

100265256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 100265256 is about 10013.2540165523. The cubic root of 100265256 is about 464.5689241180.

It can be divided in two parts, 100 and 265256, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 100265256 in words is "one hundred million, two hundred sixty-five thousand, two hundred fifty-six".