102586692864 has 144 divisors (see below), whose sum is σ = 276063621120. Its totient is φ = 33817835520.

The previous prime is 102586692841. The next prime is 102586692881. The reversal of 102586692864 is 468296685201.

It is a happy number.

102586692864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 26255199 + ... + 26259105.

It is an arithmetic number, because the mean of its divisors is an integer number (1917108480).

Almost surely, 2^102586692864 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 102586692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138031810560).

102586692864 is an abundant number, since it is smaller than the sum of its proper divisors (173476928256).

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

102586692864 is a wasteful number, since it uses less digits than its factorization.

102586692864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 102586692864 in words is "one hundred two billion, five hundred eighty-six million, six hundred ninety-two thousand, eight hundred sixty-four".