100591920 has 240 divisors, whose sum is σ = 397287072. Its totient is φ = 22487040.

The previous prime is 100591919. The next prime is 100591951. The reversal of 100591920 is 29195001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 102472 + ... + 103448.

Almost surely, 2^100591920 is an apocalyptic number.

100591920 is a gapful number since it is divisible by the number (10) 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 100591920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198643536).

100591920 is an abundant number, since it is smaller than the sum of its proper divisors (296695152).

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

100591920 is a wasteful number, since it uses less digits than its factorization.

100591920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 100591920 is about 10029.5523329808. The cubic root of 100591920 is about 465.0728987340.

The spelling of 100591920 in words is "one hundred million, five hundred ninety-one thousand, nine hundred twenty".