110985 has 24 divisors (see below), whose sum is σ = 207936. Its totient is φ = 50400.

The previous prime is 110977. The next prime is 110989. The reversal of 110985 is 589011.

It is not a de Polignac number, because 110985 - 2³ = 110977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110989) 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, 660 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (8664).

2¹¹⁰⁹⁸⁵ is an apocalyptic number.

110985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110985 is a deficient number, since it is larger than the sum of its proper divisors (96951).

110985 is a wasteful number, since it uses less digits than its factorization.

110985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 110985 is about 333.1441129601. The cubic root of 110985 is about 48.0567904217.

Adding to 110985 its reverse (589011), we get a palindrome (699996).

The spelling of 110985 in words is "one hundred ten thousand, nine hundred eighty-five".