102804 has 24 divisors (see below), whose sum is σ = 258720. Its totient is φ = 31584.

The previous prime is 102797. The next prime is 102811. The reversal of 102804 is 408201.

It is an interprime number because it is at equal distance from previous prime (102797) and next prime (102811).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102804.

It is an unprimeable number.

102804 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 174 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2¹⁰²⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

102804 is an abundant number, since it is smaller than the sum of its proper divisors (155916).

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

102804 is a wasteful number, since it uses less digits than its factorization.

102804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102804 is about 320.6306286056. The cubic root of 102804 is about 46.8457292815.

The spelling of 102804 in words is "one hundred two thousand, eight hundred four".