111605116 has 48 divisors (see below), whose sum is σ = 232227072. Its totient is φ = 45936000.

The previous prime is 111605111. The next prime is 111605147. The reversal of 111605116 is 611506111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111605111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76191 + ... + 77641.

It is an arithmetic number, because the mean of its divisors is an integer number (4838064).

Almost surely, 2^111605116 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 111605116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116113536).

111605116 is an abundant number, since it is smaller than the sum of its proper divisors (120621956).

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

111605116 is a wasteful number, since it uses less digits than its factorization.

111605116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 111605116 is about 10564.3322552824. The cubic root of 111605116 is about 481.4612818049.

The spelling of 111605116 in words is "one hundred eleven million, six hundred five thousand, one hundred sixteen".