111106120 has 64 divisors (see below), whose sum is σ = 258059520. Its totient is φ = 43029504.

The previous prime is 111106117. The next prime is 111106133. The reversal of 111106120 is 21601111.

It is a self number, because there is not a number n which added to its sum of digits gives 111106120.

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 15 ways as a sum of consecutive naturals, for example, 212179 + ... + 212701.

It is an arithmetic number, because the mean of its divisors is an integer number (4032180).

Almost surely, 2^111106120 is an apocalyptic number.

111106120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129029760).

111106120 is an abundant number, since it is smaller than the sum of its proper divisors (146953400).

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

111106120 is a wasteful number, since it uses less digits than its factorization.

111106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 111106120 is about 10540.6887820484. The cubic root of 111106120 is about 480.7426582335.

Adding to 111106120 its reverse (21601111), we get a palindrome (132707231).

The spelling of 111106120 in words is "one hundred eleven million, one hundred six thousand, one hundred twenty".