111112104 has 64 divisors (see below), whose sum is σ = 285120000. Its totient is φ = 36071360.

The previous prime is 111112087. The next prime is 111112121. The reversal of 111112104 is 401211111.

It is an interprime number because it is at equal distance from previous prime (111112087) and next prime (111112121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 111112104.

It is an unprimeable number.

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, 185197 + ... + 185795.

It is an arithmetic number, because the mean of its divisors is an integer number (4455000).

Almost surely, 2^111112104 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 111112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560000).

111112104 is an abundant number, since it is smaller than the sum of its proper divisors (174007896).

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

111112104 is a wasteful number, since it uses less digits than its factorization.

111112104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 111112104 is about 10540.9726306447. The cubic root of 111112104 is about 480.7512887584.

Adding to 111112104 its reverse (401211111), we get a palindrome (512323215).

The spelling of 111112104 in words is "one hundred eleven million, one hundred twelve thousand, one hundred four".