105765 has 16 divisors (see below), whose sum is σ = 184896. Its totient is φ = 51200.

The previous prime is 105761. The next prime is 105767. The reversal of 105765 is 567501.

It is not a de Polignac number, because 105765 - 2² = 105761 is a prime.

It is a super-2 number, since 2×105765² = 22372470450, which contains 22 as substring.

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 105765.

It is not an unprimeable number, because it can be changed into a prime (105761) 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, 156 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (11556).

2¹⁰⁵⁷⁶⁵ is an apocalyptic number.

105765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105765 is a deficient number, since it is larger than the sum of its proper divisors (79131).

105765 is a wasteful number, since it uses less digits than its factorization.

105765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 105765 is about 325.2153132926. The cubic root of 105765 is about 47.2912352444.

It can be divided in two parts, 10 and 5765, that added together give a palindrome (5775).

The spelling of 105765 in words is "one hundred five thousand, seven hundred sixty-five".