102564224400 has 120 divisors (see below), whose sum is σ = 358415390304. Its totient is φ = 24864051200.

The previous prime is 102564224381. The next prime is 102564224417. The reversal of 102564224400 is 4422465201.

102564224400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3871809 + ... + 3898208.

Almost surely, 2^102564224400 is an apocalyptic number.

102564224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102564224400 is an abundant number, since it is smaller than the sum of its proper divisors (255851165904).

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

102564224400 is a wasteful number, since it uses less digits than its factorization.

102564224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770049 (or 7770038 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 102564224400 its reverse (4422465201), we get a palindrome (106986689601).

The spelling of 102564224400 in words is "one hundred two billion, five hundred sixty-four million, two hundred twenty-four thousand, four hundred".