105871993359 has 16 divisors (see below), whose sum is σ = 155029161600. Its totient is φ = 63734204960.

The previous prime is 105871993327. The next prime is 105871993369. The reversal of 105871993359 is 953399178501.

It is a cyclic number.

It is not a de Polignac number, because 105871993359 - 2⁵ = 105871993327 is a prime.

It is a super-2 number, since 2×105871993359² (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 (105871993369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10760997 + ... + 10770830.

It is an arithmetic number, because the mean of its divisors is an integer number (9689322600).

Almost surely, 2^105871993359 is an apocalyptic number.

105871993359 is a deficient number, since it is larger than the sum of its proper divisors (49157168241).

105871993359 is a wasteful number, since it uses less digits than its factorization.

105871993359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21531990.

The product of its (nonzero) digits is 9185400, while the sum is 60.

The spelling of 105871993359 in words is "one hundred five billion, eight hundred seventy-one million, nine hundred ninety-three thousand, three hundred fifty-nine".