105355100311 has 2 divisors, whose sum is σ = 105355100312. Its totient is φ = 105355100310.

The previous prime is 105355100309. The next prime is 105355100327. The reversal of 105355100311 is 113001553501.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (113001553501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105355100311 - 2¹ = 105355100309 is a prime.

It is a super-2 number, since 2×105355100311² (a number of 23 digits) contains 22 as substring.

Together with 105355100309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105355100381) 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, 52677550155 + 52677550156.

It is an arithmetic number, because the mean of its divisors is an integer number (52677550156).

Almost surely, 2^105355100311 is an apocalyptic number.

105355100311 is a deficient number, since it is larger than the sum of its proper divisors (1).

105355100311 is an equidigital number, since it uses as much as digits as its factorization.

105355100311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1125, while the sum is 25.

Adding to 105355100311 its reverse (113001553501), we get a palindrome (218356653812).

The spelling of 105355100311 in words is "one hundred five billion, three hundred fifty-five million, one hundred thousand, three hundred eleven".