921090100 has 144 divisors (see below), whose sum is σ = 2375847936. Its totient is φ = 303408000.

The previous prime is 921090097. The next prime is 921090187. The reversal of 921090100 is 1090129.

It is a congruent number.

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, 2136885 + ... + 2137315.

It is an arithmetic number, because the mean of its divisors is an integer number (16498944).

Almost surely, 2^921090100 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 921090100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187923968).

921090100 is an abundant number, since it is smaller than the sum of its proper divisors (1454757836).

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

921090100 is a wasteful number, since it uses less digits than its factorization.

921090100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 921090100 is about 30349.4662226537. The cubic root of 921090100 is about 972.9728119459.

The spelling of 921090100 in words is "nine hundred twenty-one million, ninety thousand, one hundred".