112005111105 has 24 divisors (see below), whose sum is σ = 199389281832. Its totient is φ = 58121570304.

The previous prime is 112005111079. The next prime is 112005111157. The reversal of 112005111105 is 501111500211.

It can be written as a sum of positive squares in 4 ways, for example, as 14984697744 + 97020413361 = 122412^2 + 311481^2 .

It is not a de Polignac number, because 112005111105 - 2⁶ = 112005111041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33633504 + ... + 33636833.

It is an arithmetic number, because the mean of its divisors is an integer number (8307886743).

Almost surely, 2^112005111105 is an apocalyptic number.

112005111105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112005111105 is a deficient number, since it is larger than the sum of its proper divisors (87384170727).

112005111105 is a wasteful number, since it uses less digits than its factorization.

112005111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67270385 (or 67270382 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 18.

Adding to 112005111105 its reverse (501111500211), we get a palindrome (613116611316).

The spelling of 112005111105 in words is "one hundred twelve billion, five million, one hundred eleven thousand, one hundred five".