109865 has 16 divisors (see below), whose sum is σ = 156288. Its totient is φ = 72576.

The previous prime is 109859. The next prime is 109873. The reversal of 109865 is 568901.

109865 = 28² + 29² + ... + 70².

It is not a de Polignac number, because 109865 - 2⁴ = 109849 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

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 109865.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (9768).

2¹⁰⁹⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

109865 is a deficient number, since it is larger than the sum of its proper divisors (46423).

109865 is an equidigital number, since it uses as much as digits as its factorization.

109865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 109865 is about 331.4588963959. The cubic root of 109865 is about 47.8945892834.

The spelling of 109865 in words is "one hundred nine thousand, eight hundred sixty-five".