102931120 has 40 divisors (see below), whose sum is σ = 241703280. Its totient is φ = 40761600.

The previous prime is 102931109. The next prime is 102931123. The reversal of 102931120 is 21139201.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (102931123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1711 + ... + 14449.

It is an arithmetic number, because the mean of its divisors is an integer number (6042582).

Almost surely, 2^102931120 is an apocalyptic number.

102931120 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 102931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).

102931120 is an abundant number, since it is smaller than the sum of its proper divisors (138772160).

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

102931120 is a wasteful number, since it uses less digits than its factorization.

102931120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12853 (or 12847 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 102931120 is about 10145.4975235323. The cubic root of 102931120 is about 468.6503000997.

The spelling of 102931120 in words is "one hundred two million, nine hundred thirty-one thousand, one hundred twenty".