105611050005011 has 16 divisors (see below), whose sum is σ = 108562008516864. Its totient is φ = 102702447185184.

The previous prime is 105611050004989. The next prime is 105611050005053. The reversal of 105611050005011 is 110500050116501.

It is a cyclic number.

It is not a de Polignac number, because 105611050005011 - 2²² = 105611045810707 is a prime.

It is a super-2 number, since 2×105611050005011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105611050001011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41576 + ... + 14533541.

It is an arithmetic number, because the mean of its divisors is an integer number (6785125532304).

Almost surely, 2^{105611050005011} is an apocalyptic number.

105611050005011 is a deficient number, since it is larger than the sum of its proper divisors (2950958511853).

105611050005011 is a wasteful number, since it uses less digits than its factorization.

105611050005011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14576570.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 105611050005011 in words is "one hundred five trillion, six hundred eleven billion, fifty million, five thousand, eleven".