105611055005105 has 16 divisors (see below), whose sum is σ = 136518267839184. Its totient is φ = 77968965550080.

The previous prime is 105611055005063. The next prime is 105611055005167. The reversal of 105611055005105 is 501500550116501.

It can be written as a sum of positive squares in 8 ways, for example, as 28453593624481 + 77157461380624 = 5334191^2 + 8783932^2 .

It is not a de Polignac number, because 105611055005105 - 2¹⁶ = 105611054939569 is a prime.

It is a super-2 number, since 2×105611055005105² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215759984 + ... + 216248913.

It is an arithmetic number, because the mean of its divisors is an integer number (8532391739949).

Almost surely, 2^{105611055005105} is an apocalyptic number.

It is an amenable number.

105611055005105 is a deficient number, since it is larger than the sum of its proper divisors (30907212834079).

105611055005105 is a wasteful number, since it uses less digits than its factorization.

105611055005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432012676.

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 105611055005105 in words is "one hundred five trillion, six hundred eleven billion, fifty-five million, five thousand, one hundred five".