104031 has 8 divisors (see below), whose sum is σ = 154160. Its totient is φ = 69336.

The previous prime is 104021. The next prime is 104033. The reversal of 104031 is 130401.

It is not a de Polignac number, because 104031 - 2⁶ = 103967 is a prime.

It is a super-2 number, since 2×104031² = 21644897922, which contains 22 as substring.

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

It is a Duffinian 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 104031.

It is not an unprimeable number, because it can be changed into a prime (104033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (19270).

2¹⁰⁴⁰³¹ is an apocalyptic number.

104031 is a deficient number, since it is larger than the sum of its proper divisors (50129).

104031 is an equidigital number, since it uses as much as digits as its factorization.

104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3856 counting only the distinct ones).

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

The square root of 104031 is about 322.5383698105. The cubic root of 104031 is about 47.0313658143.

Adding to 104031 its reverse (130401), we get a palindrome (234432).

It can be divided in two parts, 10403 and 1, that added together give a square (10404 = 102²).

The spelling of 104031 in words is "one hundred four thousand, thirty-one".