102468560 has 20 divisors (see below), whose sum is σ = 238239588. Its totient is φ = 40987392.

The previous prime is 102468529. The next prime is 102468599. The reversal of 102468560 is 65864201.

It can be written as a sum of positive squares in 2 ways, for example, as 15904144 + 86564416 = 3988^2 + 9304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640349 + ... + 640508.

Almost surely, 2^102468560 is an apocalyptic number.

102468560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102468560 is an abundant number, since it is smaller than the sum of its proper divisors (135771028).

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

102468560 is a wasteful number, since it uses less digits than its factorization.

102468560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280870 (or 1280864 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 102468560 is about 10122.6755356477. The cubic root of 102468560 is about 467.9472266205.

The spelling of 102468560 in words is "one hundred two million, four hundred sixty-eight thousand, five hundred sixty".