101925120 has 288 divisors, whose sum is σ = 376750080. Its totient is φ = 23224320.

The previous prime is 101925113. The next prime is 101925143. The reversal of 101925120 is 21529101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802497 + ... + 802623.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 2^101925120 is an apocalyptic number.

101925120 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 101925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375040).

101925120 is an abundant number, since it is smaller than the sum of its proper divisors (274824960).

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

101925120 is a wasteful number, since it uses less digits than its factorization.

101925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101925120 is about 10095.7971453472. The cubic root of 101925120 is about 467.1185102133.

The spelling of 101925120 in words is "one hundred one million, nine hundred twenty-five thousand, one hundred twenty".