118116 has 36 divisors (see below), whose sum is σ = 317772. Its totient is φ = 36864.

The previous prime is 118093. The next prime is 118127. The reversal of 118116 is 611811.

118116 = 33³ + 34³ + 35³.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 57600 = 246^2 + 240^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

118116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516 + ... + 708.

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

2¹¹⁸¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158886).

118116 is an abundant number, since it is smaller than the sum of its proper divisors (199656).

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

118116 is a wasteful number, since it uses less digits than its factorization.

118116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

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

The square root of 118116 is about 343.6800837989. The cubic root of 118116 is about 49.0647485007.

Adding to 118116 its reverse (611811), we get a palindrome (729927).

The spelling of 118116 in words is "one hundred eighteen thousand, one hundred sixteen".