104181 has 24 divisors (see below), whose sum is σ = 178752. Its totient is φ = 52800.

The previous prime is 104179. The next prime is 104183. The reversal of 104181 is 181401.

104181 = 29² + 30² + ... + 69².

It is an interprime number because it is at equal distance from previous prime (104179) and next prime (104183).

It is not a de Polignac number, because 104181 - 2¹ = 104179 is a prime.

It is a super-2 number, since 2×104181² = 21707361522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104181.

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 104181.

It is not an unprimeable number, because it can be changed into a prime (104183) 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 23 ways as a sum of consecutive naturals, for example, 2521 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2¹⁰⁴¹⁸¹ is an apocalyptic number.

104181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104181 is a deficient number, since it is larger than the sum of its proper divisors (74571).

104181 is a wasteful number, since it uses less digits than its factorization.

104181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 104181 is about 322.7708165247. The cubic root of 104181 is about 47.0539594544.

Adding to 104181 its sum of digits (15), we get a triangular number (104196 = T₄₅₆).

Adding to 104181 its reverse (181401), we get a palindrome (285582).

The spelling of 104181 in words is "one hundred four thousand, one hundred eighty-one".