102557039328 has 240 divisors, whose sum is σ = 328444578000. Its totient is φ = 31269224448.

The previous prime is 102557039317. The next prime is 102557039339. The reversal of 102557039328 is 823930755201.

102557039328 is a `hidden beast` number, since 1 + 0 + 2 + 557 + 0 + 3 + 93 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (102557039317) and next prime (102557039339).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1392288 + ... + 1464096.

It is an arithmetic number, because the mean of its divisors is an integer number (1368519075).

Almost surely, 2^102557039328 is an apocalyptic number.

102557039328 is a gapful number since it is divisible by the number (18) 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 102557039328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164222289000).

102557039328 is an abundant number, since it is smaller than the sum of its proper divisors (225887538672).

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

102557039328 is a wasteful number, since it uses less digits than its factorization.

102557039328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71879 (or 71862 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 102557039328 in words is "one hundred two billion, five hundred fifty-seven million, thirty-nine thousand, three hundred twenty-eight".