105111061005011 has 2 divisors, whose sum is σ = 105111061005012. Its totient is φ = 105111061005010.

The previous prime is 105111061005001. The next prime is 105111061005047. The reversal of 105111061005011 is 110500160111501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105111061005011 - 2¹⁴ = 105111060988627 is a prime.

It is a super-2 number, since 2×105111061005011² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105111061005001) by changing a digit.

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 as a sum of consecutive naturals, namely, 52555530502505 + 52555530502506.

It is an arithmetic number, because the mean of its divisors is an integer number (52555530502506).

Almost surely, 2^{105111061005011} is an apocalyptic number.

105111061005011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111061005011 is an equidigital number, since it uses as much as digits as its factorization.

105111061005011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 23.

The spelling of 105111061005011 in words is "one hundred five trillion, one hundred eleven billion, sixty-one million, five thousand, eleven".