105005061106011 has 24 divisors (see below), whose sum is σ = 165463582992240. Its totient is φ = 63639022334400.

The previous prime is 105005061106003. The next prime is 105005061106027. The reversal of 105005061106011 is 110601160500501.

105005061106011 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 50 + 6 + 1 + 1 + 0 + 601 + 1 = 666.

It is not a de Polignac number, because 105005061106011 - 2³ = 105005061106003 is a prime.

It is a super-2 number, since 2×105005061106011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005061106411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12461841 + ... + 19113021.

It is an arithmetic number, because the mean of its divisors is an integer number (6894315958010).

Almost surely, 2^{105005061106011} is an apocalyptic number.

105005061106011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105005061106011 is a deficient number, since it is larger than the sum of its proper divisors (60458521886229).

105005061106011 is a wasteful number, since it uses less digits than its factorization.

105005061106011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810667 (or 6810664 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105005061106011 in words is "one hundred five trillion, five billion, sixty-one million, one hundred six thousand, eleven".