102716676082160 has 80 divisors (see below), whose sum is σ = 274124729150400. Its totient is φ = 35063359377408.

The previous prime is 102716676082093. The next prime is 102716676082249. The reversal of 102716676082160 is 61280676617201.

It is a tau number, because it is divible by the number of its divisors (80).

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, 400357865 + ... + 400614344.

It is an arithmetic number, because the mean of its divisors is an integer number (3426559114380).

Almost surely, 2^{102716676082160} is an apocalyptic number.

102716676082160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102716676082160 is an abundant number, since it is smaller than the sum of its proper divisors (171408053068240).

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

102716676082160 is a wasteful number, since it uses less digits than its factorization.

102716676082160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800972458 (or 800972452 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 102716676082160 in words is "one hundred two trillion, seven hundred sixteen billion, six hundred seventy-six million, eighty-two thousand, one hundred sixty".