100872464 has 80 divisors (see below), whose sum is σ = 249734016. Its totient is φ = 38323200.

The previous prime is 100872451. The next prime is 100872479. The reversal of 100872464 is 464278001.

It is a self number, because there is not a number n which added to its sum of digits gives 100872464.

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, 49514 + ... + 51510.

Almost surely, 2^100872464 is an apocalyptic number.

100872464 is a gapful number since it is divisible by the number (14) 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 100872464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124867008).

100872464 is an abundant number, since it is smaller than the sum of its proper divisors (148861552).

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

100872464 is a wasteful number, since it uses less digits than its factorization.

100872464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 100872464 is about 10043.5284636426. The cubic root of 100872464 is about 465.5048496139.

The spelling of 100872464 in words is "one hundred million, eight hundred seventy-two thousand, four hundred sixty-four".