100925120 has 56 divisors (see below), whose sum is σ = 242163600. Its totient is φ = 40061952.

The previous prime is 100925113. The next prime is 100925179. The reversal of 100925120 is 21529001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100925092 and 100925101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43346 + ... + 45614.

It is an arithmetic number, because the mean of its divisors is an integer number (4324350).

Almost surely, 2^100925120 is an apocalyptic number.

100925120 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 100925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121081800).

100925120 is an abundant number, since it is smaller than the sum of its proper divisors (141238480).

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

100925120 is a wasteful number, since it uses less digits than its factorization.

100925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 100925120 is about 10046.1495111311. The cubic root of 100925120 is about 465.5858342505.

The spelling of 100925120 in words is "one hundred million, nine hundred twenty-five thousand, one hundred twenty".