105811743183733 has 2 divisors, whose sum is σ = 105811743183734. Its totient is φ = 105811743183732.

The previous prime is 105811743183659. The next prime is 105811743183763. The reversal of 105811743183733 is 337381347118501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98419554359569 + 7392188824164 = 9920663^2 + 2718858^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105811743183733 is a prime.

It is a super-2 number, since 2×105811743183733² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105811743183763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52905871591866 + 52905871591867.

It is an arithmetic number, because the mean of its divisors is an integer number (52905871591867).

Almost surely, 2^{105811743183733} is an apocalyptic number.

It is an amenable number.

105811743183733 is a deficient number, since it is larger than the sum of its proper divisors (1).

105811743183733 is an equidigital number, since it uses as much as digits as its factorization.

105811743183733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 105811743183733 in words is "one hundred five trillion, eight hundred eleven billion, seven hundred forty-three million, one hundred eighty-three thousand, seven hundred thirty-three".