112109985 has 48 divisors (see below), whose sum is σ = 221601744. Its totient is φ = 51941376.

The previous prime is 112109983. The next prime is 112109989. The reversal of 112109985 is 589901211.

It can be written as a sum of positive squares in 8 ways, for example, as 6780816 + 105329169 = 2604^2 + 10263^2 .

It is not a de Polignac number, because 112109985 - 2¹ = 112109983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112109983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4309 + ... + 15581.

It is an arithmetic number, because the mean of its divisors is an integer number (4616703).

Almost surely, 2^112109985 is an apocalyptic number.

112109985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112109985 is a deficient number, since it is larger than the sum of its proper divisors (109491759).

112109985 is a wasteful number, since it uses less digits than its factorization.

112109985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11314 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 112109985 is about 10588.2002720009. The cubic root of 112109985 is about 482.1861866291.

The spelling of 112109985 in words is "one hundred twelve million, one hundred nine thousand, nine hundred eighty-five".