102564805512 has 128 divisors (see below), whose sum is σ = 278934969600. Its totient is φ = 31240055808.

The previous prime is 102564805489. The next prime is 102564805529. The reversal of 102564805512 is 215508465201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13564789 + ... + 13572347.

It is an arithmetic number, because the mean of its divisors is an integer number (2179179450).

Almost surely, 2^102564805512 is an apocalyptic number.

102564805512 is a gapful number since it is divisible by the number (12) 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 102564805512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139467484800).

102564805512 is an abundant number, since it is smaller than the sum of its proper divisors (176370164088).

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

102564805512 is a wasteful number, since it uses less digits than its factorization.

102564805512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 8011 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 102564805512 in words is "one hundred two billion, five hundred sixty-four million, eight hundred five thousand, five hundred twelve".