105010016106011 has 2 divisors, whose sum is σ = 105010016106012. Its totient is φ = 105010016106010.

The previous prime is 105010016106007. The next prime is 105010016106019. The reversal of 105010016106011 is 110601610010501.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105010016106011 - 2² = 105010016106007 is a prime.

It is a super-2 number, since 2×105010016106011² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105010016106019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505008053005 + 52505008053006.

It is an arithmetic number, because the mean of its divisors is an integer number (52505008053006).

Almost surely, 2^{105010016106011} is an apocalyptic number.

105010016106011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010016106011 is an equidigital number, since it uses as much as digits as its factorization.

105010016106011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 23.

Adding to 105010016106011 its reverse (110601610010501), we get a palindrome (215611626116512).

The spelling of 105010016106011 in words is "one hundred five trillion, ten billion, sixteen million, one hundred six thousand, eleven".