102064560 has 80 divisors (see below), whose sum is σ = 340749024. Its totient is φ = 25122816.

The previous prime is 102064531. The next prime is 102064579. The reversal of 102064560 is 65460201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102064560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13237 + ... + 19476.

Almost surely, 2^102064560 is an apocalyptic number.

102064560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102064560 is an abundant number, since it is smaller than the sum of its proper divisors (238684464).

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

102064560 is a wasteful number, since it uses less digits than its factorization.

102064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32742 (or 32736 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102064560 is about 10102.7006290397. The cubic root of 102064560 is about 467.3314290198.

The spelling of 102064560 in words is "one hundred two million, sixty-four thousand, five hundred sixty".