102704859979200 has 252 divisors, whose sum is σ = 365047483856328. Its totient is φ = 27387200256000.

The previous prime is 102704859979147. The next prime is 102704859979217. The reversal of 102704859979200 is 2979958407201.

102704859979200 is a `hidden beast` number, since 1 + 0 + 270 + 4 + 8 + 5 + 99 + 79 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 678063475 + ... + 678214925.

It is an arithmetic number, because the mean of its divisors is an integer number (1448601126414).

Almost surely, 2^{102704859979200} is an apocalyptic number.

102704859979200 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 102704859979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182523741928164).

102704859979200 is an abundant number, since it is smaller than the sum of its proper divisors (262342623877128).

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

102704859979200 is a wasteful number, since it uses less digits than its factorization.

102704859979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198572 (or 198554 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 102704859979200 in words is "one hundred two trillion, seven hundred four billion, eight hundred fifty-nine million, nine hundred seventy-nine thousand, two hundred".