102379521024 has 495 divisors, whose sum is σ = 339405248413. Its totient is φ = 30716928000.

The previous prime is 102379521011. The next prime is 102379521031. The reversal of 102379521024 is 420125973201.

The square root of 102379521024 is 319968.

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

102379521024 is a `hidden beast` number, since 102 + 3 + 7 + 9 + 521 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98365031424 + 4014489600 = 313632^2 + 63360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102379521024.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1013658574 + ... + 1013658674.

Almost surely, 2^102379521024 is an apocalyptic number.

102379521024 is the 319968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102379521024

102379521024 is an abundant number, since it is smaller than the sum of its proper divisors (237025727389).

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

102379521024 is an equidigital number, since it uses as much as digits as its factorization.

102379521024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 102379521024 by its sum of digits (36), we get a square (3685662756864 = 1919808²).

102379521024 divided by its sum of digits (36) gives a square (2843875584 = 53328²).

The spelling of 102379521024 in words is "one hundred two billion, three hundred seventy-nine million, five hundred twenty-one thousand, twenty-four".