102689976960 has 384 divisors, whose sum is σ = 386364657600. Its totient is φ = 25771917312.

The previous prime is 102689976947. The next prime is 102689977001. The reversal of 102689976960 is 69679986201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4983639 + ... + 5004201.

Almost surely, 2^102689976960 is an apocalyptic number.

102689976960 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 102689976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193182328800).

102689976960 is an abundant number, since it is smaller than the sum of its proper divisors (283674680640).

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

102689976960 is a wasteful number, since it uses less digits than its factorization.

102689976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20625 (or 20590 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 102689976960 in words is "one hundred two billion, six hundred eighty-nine million, nine hundred seventy-six thousand, nine hundred sixty".