111805 has 8 divisors (see below), whose sum is σ = 136800. Its totient is φ = 87696.

The previous prime is 111799. The next prime is 111821. The reversal of 111805 is 508111.

111805 is nontrivially palindromic in base 3.

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

It is a cyclic number.

It is not a de Polignac number, because 111805 - 2⁵ = 111773 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 106 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2¹¹¹⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

111805 is a deficient number, since it is larger than the sum of its proper divisors (24995).

111805 is an equidigital number, since it uses as much as digits as its factorization.

111805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 111805 is about 334.3725467200. The cubic root of 111805 is about 48.1748541668.

Adding to 111805 its reverse (508111), we get a palindrome (619916).

The spelling of 111805 in words is "one hundred eleven thousand, eight hundred five".