111005112 has 64 divisors (see below), whose sum is σ = 283852800. Its totient is φ = 36167040.

The previous prime is 111005099. The next prime is 111005129. The reversal of 111005112 is 211500111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240562 + ... + 241022.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2^111005112 is an apocalyptic number.

111005112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111005112 is an abundant number, since it is smaller than the sum of its proper divisors (172847688).

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

111005112 is a wasteful number, since it uses less digits than its factorization.

111005112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 111005112 is about 10535.8963548433. The cubic root of 111005112 is about 480.5969309564.

Adding to 111005112 its reverse (211500111), we get a palindrome (322505223).

The spelling of 111005112 in words is "one hundred eleven million, five thousand, one hundred twelve".