100406456556 has 24 divisors (see below), whose sum is σ = 267750551040. Its totient is φ = 28687558992.

The previous prime is 100406456497. The next prime is 100406456587. The reversal of 100406456556 is 655654604001.

It is a super-2 number, since 2×100406456556² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597657396 + ... + 597657563.

It is an arithmetic number, because the mean of its divisors is an integer number (11156272960).

Almost surely, 2^100406456556 is an apocalyptic number.

It is an amenable number.

100406456556 is an abundant number, since it is smaller than the sum of its proper divisors (167344094484).

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

100406456556 is a wasteful number, since it uses less digits than its factorization.

100406456556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195314973 (or 1195314971 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 100406456556 in words is "one hundred billion, four hundred six million, four hundred fifty-six thousand, five hundred fifty-six".