102925920 has 96 divisors (see below), whose sum is σ = 338349312. Its totient is φ = 26250752.

The previous prime is 102925909. The next prime is 102925967. The reversal of 102925920 is 29529201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 6379 + ... + 15701.

It is an arithmetic number, because the mean of its divisors is an integer number (3524472).

Almost surely, 2^102925920 is an apocalyptic number.

102925920 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 102925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169174656).

102925920 is an abundant number, since it is smaller than the sum of its proper divisors (235423392).

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

102925920 is a wasteful number, since it uses less digits than its factorization.

102925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364 (or 9356 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 102925920 is about 10145.2412489797. The cubic root of 102925920 is about 468.6424080175.

The spelling of 102925920 in words is "one hundred two million, nine hundred twenty-five thousand, nine hundred twenty".