102564480 has 64 divisors (see below), whose sum is σ = 326930400. Its totient is φ = 27350016.

The previous prime is 102564457. The next prime is 102564533. The reversal of 102564480 is 84465201.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 24790 + ... + 28629.

Almost surely, 2^102564480 is an apocalyptic number.

102564480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102564480 is an abundant number, since it is smaller than the sum of its proper divisors (224365920).

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

102564480 is an equidigital number, since it uses as much as digits as its factorization.

102564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53441 (or 53429 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 102564480 is about 10127.4123052239. The cubic root of 102564480 is about 468.0931949695.

The spelling of 102564480 in words is "one hundred two million, five hundred sixty-four thousand, four hundred eighty".