105106110105 has 32 divisors (see below), whose sum is σ = 172485241344. Its totient is φ = 54628345856.

The previous prime is 105106110073. The next prime is 105106110143. The reversal of 105106110105 is 501011601501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105106110105 - 2⁵ = 105106110073 is a prime.

It is a super-2 number, since 2×105106110105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155664 + ... + 484193.

It is an arithmetic number, because the mean of its divisors is an integer number (5390163792).

Almost surely, 2^105106110105 is an apocalyptic number.

105106110105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105106110105 is a deficient number, since it is larger than the sum of its proper divisors (67379131239).

105106110105 is a wasteful number, since it uses less digits than its factorization.

105106110105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640145.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105106110105 its reverse (501011601501), we get a palindrome (606117711606).

The spelling of 105106110105 in words is "one hundred five billion, one hundred six million, one hundred ten thousand, one hundred five".