112905 has 24 divisors (see below), whose sum is σ = 211848. Its totient is φ = 55296.

The previous prime is 112901. The next prime is 112909. The reversal of 112905 is 509211.

It is an interprime number because it is at equal distance from previous prime (112901) and next prime (112909).

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 112896 = 3^2 + 336^2 .

It is not a de Polignac number, because 112905 - 2² = 112901 is a prime.

It is an Ulam number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (8827).

2¹¹²⁹⁰⁵ is an apocalyptic number.

112905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112905 is a deficient number, since it is larger than the sum of its proper divisors (98943).

112905 is a wasteful number, since it uses less digits than its factorization.

112905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 112905 is about 336.0133925902. The cubic root of 112905 is about 48.3323292168.

It can be divided in two parts, 11 and 2905, that added together give a square (2916 = 54²).

The spelling of 112905 in words is "one hundred twelve thousand, nine hundred five".