105008583333343 has 2 divisors, whose sum is σ = 105008583333344. Its totient is φ = 105008583333342.

The previous prime is 105008583333331. The next prime is 105008583333361. The reversal of 105008583333343 is 343333385800501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105008583333343 - 2⁴⁵ = 69824211244511 is a prime.

It is a super-2 number, since 2×105008583333343² (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 (105008583333323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52504291666671 + 52504291666672.

It is an arithmetic number, because the mean of its divisors is an integer number (52504291666672).

Almost surely, 2^{105008583333343} is an apocalyptic number.

105008583333343 is a deficient number, since it is larger than the sum of its proper divisors (1).

105008583333343 is an equidigital number, since it uses as much as digits as its factorization.

105008583333343 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 105008583333343 in words is "one hundred five trillion, eight billion, five hundred eighty-three million, three hundred thirty-three thousand, three hundred forty-three".