111105242112 has 88 divisors (see below), whose sum is σ = 296279504800. Its totient is φ = 37017133056.

The previous prime is 111105242111. The next prime is 111105242141. The reversal of 111105242112 is 211242501111.

It is a super-2 number, since 2×111105242112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111105242111) 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 7 ways as a sum of consecutive naturals, for example, 7331439 + ... + 7346577.

Almost surely, 2^111105242112 is an apocalyptic number.

111105242112 is a gapful number since it is divisible by the number (12) 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 111105242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148139752400).

111105242112 is an abundant number, since it is smaller than the sum of its proper divisors (185174262688).

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

111105242112 is a wasteful number, since it uses less digits than its factorization.

111105242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17551 (or 17533 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 111105242112 its reverse (211242501111), we get a palindrome (322347743223).

The spelling of 111105242112 in words is "one hundred eleven billion, one hundred five million, two hundred forty-two thousand, one hundred twelve".