102455728128 has 432 divisors, whose sum is σ = 331072297920. Its totient is φ = 30479155200.

The previous prime is 102455728073. The next prime is 102455728139. The reversal of 102455728128 is 821827554201.

102455728128 is a `hidden beast` number, since 1 + 0 + 2 + 455 + 72 + 8 + 128 = 666.

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 35 ways as a sum of consecutive naturals, for example, 96564718 + ... + 96565778.

It is an arithmetic number, because the mean of its divisors is an integer number (766371060).

Almost surely, 2^102455728128 is an apocalyptic number.

102455728128 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 102455728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165536148960).

102455728128 is an abundant number, since it is smaller than the sum of its proper divisors (228616569792).

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

102455728128 is a wasteful number, since it uses less digits than its factorization.

102455728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 102455728128 in words is "one hundred two billion, four hundred fifty-five million, seven hundred twenty-eight thousand, one hundred twenty-eight".