104004 has 36 divisors (see below), whose sum is σ = 275184. Its totient is φ = 34344.

The previous prime is 104003. The next prime is 104009. The reversal of 104004 is 400401.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (104003) 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 11 ways as a sum of consecutive naturals, for example, 919 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2¹⁰⁴⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

104004 is an abundant number, since it is smaller than the sum of its proper divisors (171180).

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

104004 is a wasteful number, since it uses less digits than its factorization.

104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 104004 is about 322.4965116090. The cubic root of 104004 is about 47.0272966530.

Adding to 104004 its reverse (400401), we get a palindrome (504405).

It can be divided in two parts, 10400 and 4, that added together give a square (10404 = 102²).

The spelling of 104004 in words is "one hundred four thousand, four", and thus it is an iban number.