110112117 has 16 divisors (see below), whose sum is σ = 150405120. Its totient is φ = 71623472.

The previous prime is 110112089. The next prime is 110112133. The reversal of 110112117 is 711211011.

It is a cyclic number.

It is not a de Polignac number, because 110112117 - 2¹¹ = 110110069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110112096 and 110112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52984 + ... + 55022.

It is an arithmetic number, because the mean of its divisors is an integer number (9400320).

Almost surely, 2^110112117 is an apocalyptic number.

It is an amenable number.

110112117 is a deficient number, since it is larger than the sum of its proper divisors (40293003).

110112117 is a wasteful number, since it uses less digits than its factorization.

110112117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472.

The product of its (nonzero) digits is 14, while the sum is 15.

The square root of 110112117 is about 10493.4320886924. The cubic root of 110112117 is about 479.3047181943.

Adding to 110112117 its reverse (711211011), we get a palindrome (821323128).

The spelling of 110112117 in words is "one hundred ten million, one hundred twelve thousand, one hundred seventeen".