100466856 has 72 divisors (see below), whose sum is σ = 316532970. Its totient is φ = 28703808.

The previous prime is 100466827. The next prime is 100466867. The reversal of 100466856 is 658664001.

It can be written as a sum of positive squares in only one way, i.e., 87721956 + 12744900 = 9366^2 + 3570^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 100466856.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10711 + ... + 17766.

Almost surely, 2^100466856 is an apocalyptic number.

It is an amenable number.

100466856 is an abundant number, since it is smaller than the sum of its proper divisors (216066114).

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

100466856 is a wasteful number, since it uses less digits than its factorization.

100466856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28503 (or 28489 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 100466856 is about 10023.3156190953. The cubic root of 100466856 is about 464.8800800717.

The spelling of 100466856 in words is "one hundred million, four hundred sixty-six thousand, eight hundred fifty-six".