105610505105 has 16 divisors (see below), whose sum is σ = 145469752320. Its totient is φ = 72102388032.

The previous prime is 105610505087. The next prime is 105610505167. The reversal of 105610505105 is 501505016501.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105610505105 is a prime.

It is a super-2 number, since 2×105610505105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 6580289 + ... + 6596318.

It is an arithmetic number, because the mean of its divisors is an integer number (9091859520).

Almost surely, 2^105610505105 is an apocalyptic number.

It is an amenable number.

105610505105 is a deficient number, since it is larger than the sum of its proper divisors (39859247215).

105610505105 is a wasteful number, since it uses less digits than its factorization.

105610505105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176848.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105610505105 in words is "one hundred five billion, six hundred ten million, five hundred five thousand, one hundred five".