100252456290 has 96 divisors (see below), whose sum is σ = 302776621056. Its totient is φ = 22539185280.

The previous prime is 100252456237. The next prime is 100252456303. The reversal of 100252456290 is 92654252001.

100252456290 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 2 + 4 + 562 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265922 + ... + 1342781.

It is an arithmetic number, because the mean of its divisors is an integer number (3153923136).

Almost surely, 2^100252456290 is an apocalyptic number.

100252456290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100252456290 is an abundant number, since it is smaller than the sum of its proper divisors (202524164766).

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

100252456290 is a wasteful number, since it uses less digits than its factorization.

100252456290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608784 (or 2608781 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 100252456290 in words is "one hundred billion, two hundred fifty-two million, four hundred fifty-six thousand, two hundred ninety".