3105 has 16 divisors (see below), whose sum is σ = 5760. Its totient is φ = 1584.

The previous prime is 3089. The next prime is 3109. The reversal of 3105 is 5013.

It is not a de Polignac number, because 3105 - 2⁴ = 3089 is a prime.

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

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 5, base 15 and base 16.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (3109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

It is an amenable number.

3105 is a deficient number, since it is larger than the sum of its proper divisors (2655).

3105 is a wasteful number, since it uses less digits than its factorization.

3105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 3105 is about 55.7225268630. The cubic root of 3105 is about 14.5888323933.

Adding to 3105 its reverse (5013), we get a palindrome (8118).

The spelling of 3105 in words is "three thousand, one hundred five".