18105 has 16 divisors (see below), whose sum is σ = 31104. Its totient is φ = 8960.

The previous prime is 18097. The next prime is 18119. The reversal of 18105 is 50181.

It is a happy number.

It is not a de Polignac number, because 18105 - 2³ = 18097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

2¹⁸¹⁰⁵ is an apocalyptic number.

18105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18105 is a deficient number, since it is larger than the sum of its proper divisors (12999).

18105 is a wasteful number, since it uses less digits than its factorization.

18105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 18105 is about 134.5548215413. The cubic root of 18105 is about 26.2582740357.

Adding to 18105 its product of nonzero digits (40), we get a triangular number (18145 = T₁₉₀).

Adding to 18105 its reverse (50181), we get a palindrome (68286).

The spelling of 18105 in words is "eighteen thousand, one hundred five".