112105102041 has 27 divisors (see below), whose sum is σ = 162967774879. Its totient is φ = 74260619232.

The previous prime is 112105102027. The next prime is 112105102069. The reversal of 112105102041 is 140201501211.

The square root of 112105102041 is 334821.

It is a perfect power (a square), and thus also a powerful number.

112105102041 is a `hidden beast` number, since 112 + 1 + 0 + 510 + 2 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22766283225 + 89338818816 = 150885^2 + 298896^2 .

It is not a de Polignac number, because 112105102041 - 2¹¹ = 112105099993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112105102001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 234039640 + ... + 234040118.

Almost surely, 2^112105102041 is an apocalyptic number.

112105102041 is the 334821-st square number.

112105102041 is the 167411-st centered octagonal number.

It is an amenable number.

112105102041 is a deficient number, since it is larger than the sum of its proper divisors (50862672838).

112105102041 is an frugal number, since it uses more digits than its factorization.

112105102041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 112105102041 its reverse (140201501211), we get a palindrome (252306603252).

The spelling of 112105102041 in words is "one hundred twelve billion, one hundred five million, one hundred two thousand, forty-one".