102612960 has 96 divisors (see below), whose sum is σ = 359160480. Its totient is φ = 27362304.

The previous prime is 102612947. The next prime is 102612971. The reversal of 102612960 is 69216201.

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 (27).

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, 7557 + ... + 16196.

It is an arithmetic number, because the mean of its divisors is an integer number (3741255).

Almost surely, 2^102612960 is an apocalyptic number.

102612960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102612960 is an abundant number, since it is smaller than the sum of its proper divisors (256547520).

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

102612960 is a wasteful number, since it uses less digits than its factorization.

102612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23777 (or 23763 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102612960 is about 10129.8055262675. The cubic root of 102612960 is about 468.1669358446.

The spelling of 102612960 in words is "one hundred two million, six hundred twelve thousand, nine hundred sixty".