105829071743 has 2 divisors, whose sum is σ = 105829071744. Its totient is φ = 105829071742.

The previous prime is 105829071727. The next prime is 105829071749. The reversal of 105829071743 is 347170928501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105829071743 - 2⁴ = 105829071727 is a prime.

It is a super-2 number, since 2×105829071743² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105829071749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52914535871 + 52914535872.

It is an arithmetic number, because the mean of its divisors is an integer number (52914535872).

Almost surely, 2^105829071743 is an apocalyptic number.

105829071743 is a deficient number, since it is larger than the sum of its proper divisors (1).

105829071743 is an equidigital number, since it uses as much as digits as its factorization.

105829071743 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 105829071743 in words is "one hundred five billion, eight hundred twenty-nine million, seventy-one thousand, seven hundred forty-three".