102881680 has 40 divisors (see below), whose sum is σ = 260947584. Its totient is φ = 37411200.

The previous prime is 102881651. The next prime is 102881693. The reversal of 102881680 is 86188201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 57576 + ... + 59335.

Almost surely, 2^102881680 is an apocalyptic number.

102881680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102881680 is an abundant number, since it is smaller than the sum of its proper divisors (158065904).

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

102881680 is a wasteful number, since it uses less digits than its factorization.

102881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116935 (or 116929 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 102881680 is about 10143.0606820624. The cubic root of 102881680 is about 468.5752538568.

The spelling of 102881680 in words is "one hundred two million, eight hundred eighty-one thousand, six hundred eighty".