100468872 has 48 divisors (see below), whose sum is σ = 310976640. Its totient is φ = 28705248.

The previous prime is 100468843. The next prime is 100468889. The reversal of 100468872 is 278864001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99168 + ... + 100175.

It is an arithmetic number, because the mean of its divisors is an integer number (6478680).

Almost surely, 2^100468872 is an apocalyptic number.

100468872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100468872 is an abundant number, since it is smaller than the sum of its proper divisors (210507768).

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

100468872 is a wasteful number, since it uses less digits than its factorization.

100468872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199362 (or 199355 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 100468872 is about 10023.4161841161. The cubic root of 100468872 is about 464.8831895283.

The spelling of 100468872 in words is "one hundred million, four hundred sixty-eight thousand, eight hundred seventy-two".