105011560505231 has 2 divisors, whose sum is σ = 105011560505232. Its totient is φ = 105011560505230.

The previous prime is 105011560505051. The next prime is 105011560505233. The reversal of 105011560505231 is 132505065110501.

It is a strong prime.

It is an emirp because it is prime and its reverse (132505065110501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105011560505231 is a prime.

It is a super-2 number, since 2×105011560505231² (a number of 29 digits) contains 22 as substring.

Together with 105011560505233, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105011560505191 and 105011560505200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105011560505233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505780252615 + 52505780252616.

It is an arithmetic number, because the mean of its divisors is an integer number (52505780252616).

Almost surely, 2^{105011560505231} is an apocalyptic number.

105011560505231 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011560505231 is an equidigital number, since it uses as much as digits as its factorization.

105011560505231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 105011560505231 in words is "one hundred five trillion, eleven billion, five hundred sixty million, five hundred five thousand, two hundred thirty-one".