100166400 has 324 divisors, whose sum is σ = 375621792. Its totient is φ = 25436160.

The previous prime is 100166389. The next prime is 100166413. The reversal of 100166400 is 4661001.

100166400 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 664 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2131177 + ... + 2131223.

Almost surely, 2^100166400 is an apocalyptic number.

100166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187810896).

100166400 is an abundant number, since it is smaller than the sum of its proper divisors (275455392).

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

100166400 is a wasteful number, since it uses less digits than its factorization.

100166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100166400 is about 10008.3165417567. The cubic root of 100166400 is about 464.4161941529.

The spelling of 100166400 in words is "one hundred million, one hundred sixty-six thousand, four hundred".