102813634560 has 1248 divisors, whose sum is σ = 429207351552. Its totient is φ = 20808990720.

The previous prime is 102813634513. The next prime is 102813634571. The reversal of 102813634560 is 65436318201.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1448079325 + ... + 1448079395.

Almost surely, 2^102813634560 is an apocalyptic number.

102813634560 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 102813634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214603675776).

102813634560 is an abundant number, since it is smaller than the sum of its proper divisors (326393716992).

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

102813634560 is a wasteful number, since it uses less digits than its factorization.

102813634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 102813634560 in words is "one hundred two billion, eight hundred thirteen million, six hundred thirty-four thousand, five hundred sixty".