112005 has 24 divisors (see below), whose sum is σ = 205920. Its totient is φ = 56160.

The previous prime is 111997. The next prime is 112019. The reversal of 112005 is 500211.

It is a happy number.

It is not a de Polignac number, because 112005 - 2³ = 111997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2¹¹²⁰⁰⁵ is an apocalyptic number.

112005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112005 is a deficient number, since it is larger than the sum of its proper divisors (93915).

112005 is a wasteful number, since it uses less digits than its factorization.

112005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 112005 is about 334.6714807091. The cubic root of 112005 is about 48.2035625771.

Adding to 112005 its reverse (500211), we get a palindrome (612216).

It can be divided in two parts, 11 and 2005, that added together give a triangular number (2016 = T₆₃).

The spelling of 112005 in words is "one hundred twelve thousand, five".