6105 has 16 divisors (see below), whose sum is σ = 10944. Its totient is φ = 2880.

The previous prime is 6101. The next prime is 6113. The reversal of 6105 is 5016.

6105 is nontrivially palindromic in base 8.

6105 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

6105 is a nontrivial binomial coefficient, being equal to C(111, 2).

It is not a de Polignac number, because 6105 - 2² = 6101 is a prime.

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

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (6101) 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, 147 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (684).

2⁶¹⁰⁵ is an apocalyptic number.

6105 is the 110-th triangular number.

It is an amenable number.

6105 is a deficient number, since it is larger than the sum of its proper divisors (4839).

6105 is a wasteful number, since it uses less digits than its factorization.

6105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 6105 is about 78.1344994225. The cubic root of 6105 is about 18.2765922461.

Subtracting from 6105 its reverse (5016), we obtain a square (1089 = 33²).

It can be divided in two parts, 6 and 105, that multiplied together give a triangular number (630 = T₃₅).

The spelling of 6105 in words is "six thousand, one hundred five".