102256343644776 has 256 divisors, whose sum is σ = 272877208473600. Its totient is φ = 31820972851200.

The previous prime is 102256343644757. The next prime is 102256343644789. The reversal of 102256343644776 is 677446343652201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63395128546 + ... + 63395130158.

It is an arithmetic number, because the mean of its divisors is an integer number (1065926595600).

Almost surely, 2^{102256343644776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102256343644776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136438604236800).

102256343644776 is an abundant number, since it is smaller than the sum of its proper divisors (170620864828824).

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

102256343644776 is a wasteful number, since it uses less digits than its factorization.

102256343644776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 60.

The spelling of 102256343644776 in words is "one hundred two trillion, two hundred fifty-six billion, three hundred forty-three million, six hundred forty-four thousand, seven hundred seventy-six".