102564686401 has 12 divisors (see below), whose sum is σ = 106183110576. Its totient is φ = 99065880360.

The previous prime is 102564686383. The next prime is 102564686453. The reversal of 102564686401 is 104686465201.

It is not a de Polignac number, because 102564686401 - 2²³ = 102556297793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102564686491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400570 + ... + 604636.

It is an arithmetic number, because the mean of its divisors is an integer number (8848592548).

Almost surely, 2^102564686401 is an apocalyptic number.

It is an amenable number.

102564686401 is a deficient number, since it is larger than the sum of its proper divisors (3618424175).

102564686401 is an equidigital number, since it uses as much as digits as its factorization.

102564686401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204652 (or 204621 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 102564686401 in words is "one hundred two billion, five hundred sixty-four million, six hundred eighty-six thousand, four hundred one".