102659680 has 24 divisors (see below), whose sum is σ = 242533872. Its totient is φ = 41063808.

The previous prime is 102659653. The next prime is 102659731. The reversal of 102659680 is 86956201.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 320652 + ... + 320971.

It is an arithmetic number, because the mean of its divisors is an integer number (10105578).

Almost surely, 2^102659680 is an apocalyptic number.

102659680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102659680 is an abundant number, since it is smaller than the sum of its proper divisors (139874192).

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

102659680 is an equidigital number, since it uses as much as digits as its factorization.

102659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641638 (or 641630 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 102659680 is about 10132.1113298266. Note that the first 3 decimals coincide. The cubic root of 102659680 is about 468.2379776847.

It can be divided in two parts, 1026 and 59680, that added together give a palindrome (60706).

The spelling of 102659680 in words is "one hundred two million, six hundred fifty-nine thousand, six hundred eighty".