102880 has 24 divisors (see below), whose sum is σ = 243432. Its totient is φ = 41088.

The previous prime is 102877. The next prime is 102881. The reversal of 102880 is 88201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (10143).

2¹⁰²⁸⁸⁰ is an apocalyptic number.

102880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102880 is an abundant number, since it is smaller than the sum of its proper divisors (140552).

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

102880 is an equidigital number, since it uses as much as digits as its factorization.

102880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 102880 is about 320.7491231477. The cubic root of 102880 is about 46.8572703319.

The spelling of 102880 in words is "one hundred two thousand, eight hundred eighty".