10900872 has 64 divisors (see below), whose sum is σ = 30624000. Its totient is φ = 3592512.

The previous prime is 10900849. The next prime is 10900891. The reversal of 10900872 is 27800901.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23313 + ... + 23775.

It is an arithmetic number, because the mean of its divisors is an integer number (478500).

Almost surely, 2^10900872 is an apocalyptic number.

10900872 is a gapful number since it is divisible by the number (12) 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 10900872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312000).

10900872 is an abundant number, since it is smaller than the sum of its proper divisors (19723128).

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

10900872 is a wasteful number, since it uses less digits than its factorization.

10900872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10900872 is about 3301.6468617949. The cubic root of 10900872 is about 221.7279355263.

The spelling of 10900872 in words is "ten million, nine hundred thousand, eight hundred seventy-two".