105134460311 has 2 divisors, whose sum is σ = 105134460312. Its totient is φ = 105134460310.

The previous prime is 105134460269. The next prime is 105134460313. The reversal of 105134460311 is 113064431501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105134460311 - 2¹⁴ = 105134443927 is a prime.

It is a super-2 number, since 2×105134460311² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 105134460313, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105134460313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52567230155 + 52567230156.

It is an arithmetic number, because the mean of its divisors is an integer number (52567230156).

Almost surely, 2^105134460311 is an apocalyptic number.

105134460311 is a deficient number, since it is larger than the sum of its proper divisors (1).

105134460311 is an equidigital number, since it uses as much as digits as its factorization.

105134460311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 105134460311 its reverse (113064431501), we get a palindrome (218198891812).

The spelling of 105134460311 in words is "one hundred five billion, one hundred thirty-four million, four hundred sixty thousand, three hundred eleven".