100910191920 has 80 divisors (see below), whose sum is σ = 319477409280. Its totient is φ = 26336841472.

The previous prime is 100910191919. The next prime is 100910191933. The reversal of 100910191920 is 29191019001.

It is a tau number, because it is divible by the number of its divisors (80).

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, 4461690 + ... + 4484249.

It is an arithmetic number, because the mean of its divisors is an integer number (3993467616).

Almost surely, 2^100910191920 is an apocalyptic number.

100910191920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100910191920 is an abundant number, since it is smaller than the sum of its proper divisors (218567217360).

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

100910191920 is a wasteful number, since it uses less digits than its factorization.

100910191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946002 (or 8945996 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 100910191920 in words is "one hundred billion, nine hundred ten million, one hundred ninety-one thousand, nine hundred twenty".