102913920 has 192 divisors, whose sum is σ = 376637040. Its totient is φ = 25804800.

The previous prime is 102913907. The next prime is 102913927. The reversal of 102913920 is 29319201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102913927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97395 + ... + 98445.

Almost surely, 2^102913920 is an apocalyptic number.

102913920 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 102913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188318520).

102913920 is an abundant number, since it is smaller than the sum of its proper divisors (273723120).

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

102913920 is a wasteful number, since it uses less digits than its factorization.

102913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102913920 is about 10144.6498214576. The cubic root of 102913920 is about 468.6241945054.

The spelling of 102913920 in words is "one hundred two million, nine hundred thirteen thousand, nine hundred twenty".