105116502011 has 2 divisors, whose sum is σ = 105116502012. Its totient is φ = 105116502010.

The previous prime is 105116501933. The next prime is 105116502047. The reversal of 105116502011 is 110205611501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105116502011 - 2¹⁰ = 105116500987 is a prime.

It is a super-2 number, since 2×105116502011² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105416502011) 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, 52558251005 + 52558251006.

It is an arithmetic number, because the mean of its divisors is an integer number (52558251006).

Almost surely, 2^105116502011 is an apocalyptic number.

105116502011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116502011 is an equidigital number, since it uses as much as digits as its factorization.

105116502011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 23.

The spelling of 105116502011 in words is "one hundred five billion, one hundred sixteen million, five hundred two thousand, eleven".