102100062960 has 120 divisors (see below), whose sum is σ = 391869784800. Its totient is φ = 23337156096.

The previous prime is 102100062959. The next prime is 102100062971. The reversal of 102100062960 is 69260001201.

102100062960 is a `hidden beast` number, since 10 + 21 + 0 + 0 + 0 + 629 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10123935 + ... + 10134014.

It is an arithmetic number, because the mean of its divisors is an integer number (3265581540).

Almost surely, 2^102100062960 is an apocalyptic number.

102100062960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100062960 is an abundant number, since it is smaller than the sum of its proper divisors (289769721840).

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

102100062960 is a wasteful number, since it uses less digits than its factorization.

102100062960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257975 (or 20257966 counting only the distinct ones).

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

The spelling of 102100062960 in words is "one hundred two billion, one hundred million, sixty-two thousand, nine hundred sixty".