100406180 has 48 divisors (see below), whose sum is σ = 241651200. Its totient is φ = 34328448.

The previous prime is 100406153. The next prime is 100406213. The reversal of 100406180 is 81604001.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 64046 + ... + 65594.

It is an arithmetic number, because the mean of its divisors is an integer number (5034400).

Almost surely, 2^100406180 is an apocalyptic number.

100406180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100406180 is an abundant number, since it is smaller than the sum of its proper divisors (141245020).

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

100406180 is a wasteful number, since it uses less digits than its factorization.

100406180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 100406180 is about 10020.2884190027. The cubic root of 100406180 is about 464.7864745942.

The spelling of 100406180 in words is "one hundred million, four hundred six thousand, one hundred eighty".