105700577272849 has 16 divisors (see below), whose sum is σ = 114615651230080. Its totient is φ = 96897883478400.

The previous prime is 105700577272789. The next prime is 105700577272883. The reversal of 105700577272849 is 948272775007501.

It is a cyclic number.

It is not a de Polignac number, because 105700577272849 - 2⁹ = 105700577272337 is a prime.

It is a super-2 number, since 2×105700577272849² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105700577279849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255214 + ... + 14541880.

It is an arithmetic number, because the mean of its divisors is an integer number (7163478201880).

Almost surely, 2^{105700577272849} is an apocalyptic number.

It is an amenable number.

105700577272849 is a deficient number, since it is larger than the sum of its proper divisors (8915073957231).

105700577272849 is a wasteful number, since it uses less digits than its factorization.

105700577272849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290600.

The product of its (nonzero) digits is 69148800, while the sum is 64.

The spelling of 105700577272849 in words is "one hundred five trillion, seven hundred billion, five hundred seventy-seven million, two hundred seventy-two thousand, eight hundred forty-nine".