105051050511011 has 12 divisors (see below), whose sum is σ = 118285661798472. Its totient is φ = 93171663420000.

The previous prime is 105051050510981. The next prime is 105051050511047. The reversal of 105051050511011 is 110115050150501.

It is not a de Polignac number, because 105051050511011 - 2³⁸ = 104776172604067 is a prime.

It is a super-2 number, since 2×105051050511011² (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 (105051050511061) 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 in 11 ways as a sum of consecutive naturals, for example, 10587684065 + ... + 10587693986.

It is an arithmetic number, because the mean of its divisors is an integer number (9857138483206).

Almost surely, 2^{105051050511011} is an apocalyptic number.

105051050511011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105051050511011 is a deficient number, since it is larger than the sum of its proper divisors (13234611287461).

105051050511011 is a wasteful number, since it uses less digits than its factorization.

105051050511011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21175378114 (or 21175378103 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 26.

The spelling of 105051050511011 in words is "one hundred five trillion, fifty-one billion, fifty million, five hundred eleven thousand, eleven".