102684660 has 96 divisors (see below), whose sum is σ = 316334592. Its totient is φ = 24729600.

The previous prime is 102684629. The next prime is 102684661. The reversal of 102684660 is 66486201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102684661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35260 + ... + 38060.

It is an arithmetic number, because the mean of its divisors is an integer number (3295152).

Almost surely, 2^102684660 is an apocalyptic number.

102684660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102684660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158167296).

102684660 is an abundant number, since it is smaller than the sum of its proper divisors (213649932).

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

102684660 is a wasteful number, since it uses less digits than its factorization.

102684660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 102684660 is about 10133.3439692927. The cubic root of 102684660 is about 468.2759531135.

The spelling of 102684660 in words is "one hundred two million, six hundred eighty-four thousand, six hundred sixty".