112116114 has 48 divisors (see below), whose sum is σ = 267400224. Its totient is φ = 33667200.

The previous prime is 112116097. The next prime is 112116163. The reversal of 112116114 is 411611211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19869 + ... + 24879.

It is an arithmetic number, because the mean of its divisors is an integer number (5570838).

Almost surely, 2^112116114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112116114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133700112).

112116114 is an abundant number, since it is smaller than the sum of its proper divisors (155284110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112116114 is a wasteful number, since it uses less digits than its factorization.

112116114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5140 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 112116114 is about 10588.4896940026. The cubic root of 112116114 is about 482.1949734328.

Adding to 112116114 its reverse (411611211), we get a palindrome (523727325).

The spelling of 112116114 in words is "one hundred twelve million, one hundred sixteen thousand, one hundred fourteen".