100925557920 has 432 divisors, whose sum is σ = 379588809600. Its totient is φ = 24400696320.

The previous prime is 100925557861. The next prime is 100925557921. The reversal of 100925557920 is 29755529001.

100925557920 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 2 + 5 + 557 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100925557921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104369277 + ... + 104370243.

It is an arithmetic number, because the mean of its divisors is an integer number (878677800).

Almost surely, 2^100925557920 is an apocalyptic number.

100925557920 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 100925557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189794404800).

100925557920 is an abundant number, since it is smaller than the sum of its proper divisors (278663251680).

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

100925557920 is a wasteful number, since it uses less digits than its factorization.

100925557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 100925557920 in words is "one hundred billion, nine hundred twenty-five million, five hundred fifty-seven thousand, nine hundred twenty".