104008 has 8 divisors (see below), whose sum is σ = 195030. Its totient is φ = 52000.

The previous prime is 104003. The next prime is 104009. The reversal of 104008 is 800401.

104008 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 324 = 322^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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 as a sum of consecutive naturals, namely, 6493 + ... + 6508.

2¹⁰⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

104008 is a deficient number, since it is larger than the sum of its proper divisors (91022).

104008 is a wasteful number, since it uses less digits than its factorization.

104008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13007 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 104008 is about 322.5027131669. The cubic root of 104008 is about 47.0278995362.

Adding to 104008 its reverse (800401), we get a palindrome (904409).

The spelling of 104008 in words is "one hundred four thousand, eight".