105412101113 has 16 divisors (see below), whose sum is σ = 120272052096. Its totient is φ = 91450909440.

The previous prime is 105412101107. The next prime is 105412101139. The reversal of 105412101113 is 311101214501.

It is not a de Polignac number, because 105412101113 - 2⁶ = 105412101049 is a prime.

It is a super-2 number, since 2×105412101113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105412101313) 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 15 ways as a sum of consecutive naturals, for example, 371570 + ... + 590667.

It is an arithmetic number, because the mean of its divisors is an integer number (7517003256).

Almost surely, 2^105412101113 is an apocalyptic number.

It is an amenable number.

105412101113 is a deficient number, since it is larger than the sum of its proper divisors (14859950983).

105412101113 is a wasteful number, since it uses less digits than its factorization.

105412101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962704.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 105412101113 its reverse (311101214501), we get a palindrome (416513315614).

The spelling of 105412101113 in words is "one hundred five billion, four hundred twelve million, one hundred one thousand, one hundred thirteen".