102684620088964 has 81 divisors (see below), whose sum is σ = 187203941360751. Its totient is φ = 49282090149120.

The previous prime is 102684620088913. The next prime is 102684620089013. The reversal of 102684620088964 is 469880026486201.

The square root of 102684620088964 is 10133342.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1054026648964 + 101630593440000 = 1026658^2 + 10081200^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102684620088896 and 102684620088905.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86072606352 + ... + 86072607544.

Almost surely, 2^{102684620088964} is an apocalyptic number.

102684620088964 is the 10133342-nd square number.

It is an amenable number.

102684620088964 is a deficient number, since it is larger than the sum of its proper divisors (84519321271787).

102684620088964 is an frugal number, since it uses more digits than its factorization.

102684620088964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 64.

The spelling of 102684620088964 in words is "one hundred two trillion, six hundred eighty-four billion, six hundred twenty million, eighty-eight thousand, nine hundred sixty-four".