100872772 has 144 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 35078400.

The previous prime is 100872743. The next prime is 100872799. The reversal of 100872772 is 277278001.

It is a super-2 number, since 2×100872772² = 20350632261927968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653622 + ... + 1653682.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^100872772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100872772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

100872772 is an abundant number, since it is smaller than the sum of its proper divisors (148486268).

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

100872772 is a wasteful number, since it uses less digits than its factorization.

100872772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 100872772 is about 10043.5437968876. The cubic root of 100872772 is about 465.5053233981.

The spelling of 100872772 in words is "one hundred million, eight hundred seventy-two thousand, seven hundred seventy-two".