102057056560 has 80 divisors (see below), whose sum is σ = 243178033824. Its totient is φ = 39811516416.

The previous prime is 102057056557. The next prime is 102057056579. The reversal of 102057056560 is 65650750201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223604 + ... + 2269036.

Almost surely, 2^102057056560 is an apocalyptic number.

102057056560 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 102057056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121589016912).

102057056560 is an abundant number, since it is smaller than the sum of its proper divisors (141120977264).

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

102057056560 is a wasteful number, since it uses less digits than its factorization.

102057056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46142 (or 46136 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 102057056560 in words is "one hundred two billion, fifty-seven million, fifty-six thousand, five hundred sixty".