105811743181673 has 2 divisors, whose sum is σ = 105811743181674. Its totient is φ = 105811743181672.

The previous prime is 105811743181667. The next prime is 105811743181679. The reversal of 105811743181673 is 376181347118501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105811743181667) and next prime (105811743181679).

It can be written as a sum of positive squares in only one way, i.e., 105506423943424 + 305319238249 = 10271632^2 + 552557^2 .

It is a cyclic number.

It is not a de Polignac number, because 105811743181673 - 2¹² = 105811743177577 is a prime.

It is a super-2 number, since 2×105811743181673² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105811743181679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52905871590836 + 52905871590837.

It is an arithmetic number, because the mean of its divisors is an integer number (52905871590837).

Almost surely, 2^{105811743181673} is an apocalyptic number.

It is an amenable number.

105811743181673 is a deficient number, since it is larger than the sum of its proper divisors (1).

105811743181673 is an equidigital number, since it uses as much as digits as its factorization.

105811743181673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 56.

The spelling of 105811743181673 in words is "one hundred five trillion, eight hundred eleven billion, seven hundred forty-three million, one hundred eighty-one thousand, six hundred seventy-three".