102072979764 has 90 divisors (see below), whose sum is σ = 310404519810. Its totient is φ = 29163703968.

The previous prime is 102072979763. The next prime is 102072979819. The reversal of 102072979764 is 467979270201.

102072979764 is a `hidden beast` number, since 1 + 0 + 207 + 297 + 97 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85230131364 + 16842848400 = 291942^2 + 129780^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 102072979764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102072979763) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3198819 + ... + 3230570.

It is an arithmetic number, because the mean of its divisors is an integer number (3448939109).

Almost surely, 2^102072979764 is an apocalyptic number.

102072979764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102072979764 is an abundant number, since it is smaller than the sum of its proper divisors (208331540046).

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

102072979764 is a wasteful number, since it uses less digits than its factorization.

102072979764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429419 (or 6429401 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 102072979764 in words is "one hundred two billion, seventy-two million, nine hundred seventy-nine thousand, seven hundred sixty-four".