108765 has 12 divisors (see below), whose sum is σ = 188604. Its totient is φ = 57984.

The previous prime is 108761. The next prime is 108769. The reversal of 108765 is 567801.

It is an interprime number because it is at equal distance from previous prime (108761) and next prime (108769).

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 29241 = 282^2 + 171^2 .

It is not a de Polignac number, because 108765 - 2² = 108761 is a prime.

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 108765.

It is not an unprimeable number, because it can be changed into a prime (108761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1164 + ... + 1253.

It is an arithmetic number, because the mean of its divisors is an integer number (15717).

2¹⁰⁸⁷⁶⁵ is an apocalyptic number.

108765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108765 is a deficient number, since it is larger than the sum of its proper divisors (79839).

108765 is a wasteful number, since it uses less digits than its factorization.

108765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 108765 is about 329.7953911139. The cubic root of 108765 is about 47.7342080212.

The spelling of 108765 in words is "one hundred eight thousand, seven hundred sixty-five".