100085256 has 48 divisors (see below), whose sum is σ = 287012700. Its totient is φ = 31398912.

The previous prime is 100085233. The next prime is 100085257. The reversal of 100085256 is 652580001.

It can be written as a sum of positive squares in 2 ways, for example, as 99800100 + 285156 = 9990^2 + 534^2 .

It is not an unprimeable number, because it can be changed into a prime (100085257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39661 + ... + 42108.

Almost surely, 2^100085256 is an apocalyptic number.

It is an amenable number.

100085256 is an abundant number, since it is smaller than the sum of its proper divisors (186927444).

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

100085256 is a wasteful number, since it uses less digits than its factorization.

100085256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81798 (or 81791 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 100085256 is about 10004.2618918139. The cubic root of 100085256 is about 464.2907536585.

The spelling of 100085256 in words is "one hundred million, eighty-five thousand, two hundred fifty-six".