261105 has 24 divisors (see below), whose sum is σ = 456768. Its totient is φ = 127296.

The previous prime is 261101. The next prime is 261127. The reversal of 261105 is 501162.

It is not a de Polignac number, because 261105 - 2² = 261101 is a prime.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261105.

It is not an unprimeable number, because it can be changed into a prime (261101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2484 + ... + 2586.

It is an arithmetic number, because the mean of its divisors is an integer number (19032).

2²⁶¹¹⁰⁵ is an apocalyptic number.

It is an amenable number.

261105 is a deficient number, since it is larger than the sum of its proper divisors (195663).

261105 is a wasteful number, since it uses less digits than its factorization.

261105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 261105 is about 510.9843441829. The cubic root of 261105 is about 63.9153340078.

Adding to 261105 its reverse (501162), we get a palindrome (762267).

The spelling of 261105 in words is "two hundred sixty-one thousand, one hundred five".