111631104 has 108 divisors (see below), whose sum is σ = 346711456. Its totient is φ = 34338816.

The previous prime is 111631087. The next prime is 111631111. The reversal of 111631104 is 401136111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28089 + ... + 31815.

Almost surely, 2^111631104 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 111631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173355728).

111631104 is an abundant number, since it is smaller than the sum of its proper divisors (235080352).

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

111631104 is a wasteful number, since it uses less digits than its factorization.

111631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 111631104 is about 10565.5621715080. The cubic root of 111631104 is about 481.4986494011.

Adding to 111631104 its reverse (401136111), we get a palindrome (512767215).

The spelling of 111631104 in words is "one hundred eleven million, six hundred thirty-one thousand, one hundred four".