105811743183521 has 2 divisors, whose sum is σ = 105811743183522. Its totient is φ = 105811743183520.

The previous prime is 105811743183481. The next prime is 105811743183569. The reversal of 105811743183521 is 125381347118501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103625559152896 + 2186184030625 = 10179664^2 + 1478575^2 .

It is an emirp because it is prime and its reverse (125381347118501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105811743183521 - 2⁶ = 105811743183457 is a prime.

It is a super-2 number, since 2×105811743183521² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105811743183521.

It is not a weakly prime, because it can be changed into another prime (105811743183571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52905871591760 + 52905871591761.

It is an arithmetic number, because the mean of its divisors is an integer number (52905871591761).

Almost surely, 2^{105811743183521} is an apocalyptic number.

It is an amenable number.

105811743183521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105811743183521 is an equidigital number, since it uses as much as digits as its factorization.

105811743183521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 806400, while the sum is 50.

The spelling of 105811743183521 in words is "one hundred five trillion, eight hundred eleven billion, seven hundred forty-three million, one hundred eighty-three thousand, five hundred twenty-one".