105110105505105 has 16 divisors (see below), whose sum is σ = 168510515080320. Its totient is φ = 55947274178688.

The previous prime is 105110105505077. The next prime is 105110105505127. The reversal of 105110105505105 is 501505501011501.

It is a happy number.

It is not a de Polignac number, because 105110105505105 - 2⁷ = 105110105504977 is a prime.

It is a super-2 number, since 2×105110105505105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6965539540 + ... + 6965554629.

It is an arithmetic number, because the mean of its divisors is an integer number (10531907192520).

Almost surely, 2^{105110105505105} is an apocalyptic number.

105110105505105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105110105505105 is a deficient number, since it is larger than the sum of its proper divisors (63400409575215).

105110105505105 is a wasteful number, since it uses less digits than its factorization.

105110105505105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13931094680.

The product of its (nonzero) digits is 3125, while the sum is 30.

Adding to 105110105505105 its reverse (501505501011501), we get a palindrome (606615606516606).

The spelling of 105110105505105 in words is "one hundred five trillion, one hundred ten billion, one hundred five million, five hundred five thousand, one hundred five".