102004 has 12 divisors (see below), whose sum is σ = 204064. Its totient is φ = 43704.

The previous prime is 102001. The next prime is 102013. The reversal of 102004 is 400201.

102004 = 12² + 13² + ... + 67².

102004 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1794 + ... + 1849.

2¹⁰²⁰⁰⁴ is an apocalyptic number.

102004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

102004 is a wasteful number, since it uses less digits than its factorization.

102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 102004 is about 319.3806506349. The cubic root of 102004 is about 46.7238980375.

Adding to 102004 its reverse (400201), we get a palindrome (502205).

The spelling of 102004 in words is "one hundred two thousand, four", and thus it is an iban number.