105005060560105 has 16 divisors (see below), whose sum is σ = 130352160974400. Its totient is φ = 81106702971840.

The previous prime is 105005060560093. The next prime is 105005060560129. The reversal of 105005060560105 is 501065060500501.

It is not a de Polignac number, because 105005060560105 - 2¹³ = 105005060551913 is a prime.

It is a super-2 number, since 2×105005060560105² (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, 15520210 + ... + 21234100.

It is an arithmetic number, because the mean of its divisors is an integer number (8147010060900).

Almost surely, 2^{105005060560105} is an apocalyptic number.

It is an amenable number.

105005060560105 is a deficient number, since it is larger than the sum of its proper divisors (25347100414295).

105005060560105 is a wasteful number, since it uses less digits than its factorization.

105005060560105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840664.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 105005060560105 in words is "one hundred five trillion, five billion, sixty million, five hundred sixty thousand, one hundred five".