100465656 has 64 divisors (see below), whose sum is σ = 269222400. Its totient is φ = 31160448.

The previous prime is 100465601. The next prime is 100465663. The reversal of 100465656 is 656564001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17965 + ... + 22883.

It is an arithmetic number, because the mean of its divisors is an integer number (4206600).

Almost surely, 2^100465656 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 100465656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134611200).

100465656 is an abundant number, since it is smaller than the sum of its proper divisors (168756744).

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

100465656 is a wasteful number, since it uses less digits than its factorization.

100465656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 100465656 is about 10023.2557584849. The cubic root of 100465656 is about 464.8782291850.

The spelling of 100465656 in words is "one hundred million, four hundred sixty-five thousand, six hundred fifty-six".