111909 has 12 divisors (see below), whose sum is σ = 172896. Its totient is φ = 63072.

The previous prime is 111893. The next prime is 111913. The reversal of 111909 is 909111.

It is not a de Polignac number, because 111909 - 2⁴ = 111893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111919) 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, 1497 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (14408).

2¹¹¹⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

111909 is a deficient number, since it is larger than the sum of its proper divisors (60987).

111909 is an frugal number, since it uses more digits than its factorization.

111909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 111909 is about 334.5280257318. The cubic root of 111909 is about 48.1897868089.

Multiplying 111909 by its sum of digits (21), we get a square (2350089 = 1533²).

111909 divided by its sum of digits (21) gives a square (5329 = 73²).

The spelling of 111909 in words is "one hundred eleven thousand, nine hundred nine".