104013 has 24 divisors (see below), whose sum is σ = 186368. Its totient is φ = 54432.

The previous prime is 104009. The next prime is 104021. The reversal of 104013 is 310401.

It is not a de Polignac number, because 104013 - 2² = 104009 is a prime.

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

104013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 103986 and 104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756 + ... + 882.

2¹⁰⁴⁰¹³ is an apocalyptic number.

104013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104013 is a deficient number, since it is larger than the sum of its proper divisors (82355).

104013 is a wasteful number, since it uses less digits than its factorization.

104013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 104013 is about 322.5104649465. The cubic root of 104013 is about 47.0286531184.

Adding to 104013 its reverse (310401), we get a palindrome (414414).

It can be divided in two parts, 10401 and 3, that added together give a square (10404 = 102²).

The spelling of 104013 in words is "one hundred four thousand, thirteen".