105909 has 8 divisors (see below), whose sum is σ = 144672. Its totient is φ = 68880.

The previous prime is 105907. The next prime is 105913. The reversal of 105909 is 909501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105909 - 2¹ = 105907 is a prime.

It is a super-2 number, since 2×105909² = 22433432562, 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 105909.

It is not an unprimeable number, because it can be changed into a prime (105907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (18084).

2¹⁰⁵⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

105909 is a deficient number, since it is larger than the sum of its proper divisors (38763).

105909 is an equidigital number, since it uses as much as digits as its factorization.

105909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 105909 is about 325.4366297761. The cubic root of 105909 is about 47.3126879922.

The spelling of 105909 in words is "one hundred five thousand, nine hundred nine".