105643065319 has 16 divisors (see below), whose sum is σ = 120300318720. Its totient is φ = 91830993760.

The previous prime is 105643065301. The next prime is 105643065329. The reversal of 105643065319 is 913560346501.

It is a happy number.

It is not a de Polignac number, because 105643065319 - 2¹⁷ = 105642934247 is a prime.

It is a super-2 number, since 2×105643065319² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105643065329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655869 + ... + 800905.

It is an arithmetic number, because the mean of its divisors is an integer number (7518769920).

Almost surely, 2^105643065319 is an apocalyptic number.

105643065319 is a deficient number, since it is larger than the sum of its proper divisors (14657253401).

105643065319 is a wasteful number, since it uses less digits than its factorization.

105643065319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147950.

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 105643065319 in words is "one hundred five billion, six hundred forty-three million, sixty-five thousand, three hundred nineteen".