105675011108068 has 12 divisors (see below), whose sum is σ = 195809579406252. Its totient is φ = 49729416992000.

The previous prime is 105675011108047. The next prime is 105675011108089. The reversal of 105675011108068 is 860801110576501.

It is an interprime number because it is at equal distance from previous prime (105675011108047) and next prime (105675011108089).

It can be written as a sum of positive squares in 2 ways, for example, as 93970689047104 + 11704322060964 = 9693848^2 + 3421158^2 .

It is a super-3 number, since 3×105675011108068³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 777022140433 + ... + 777022140568.

It is an arithmetic number, because the mean of its divisors is an integer number (16317464950521).

Almost surely, 2^{105675011108068} is an apocalyptic number.

It is an amenable number.

105675011108068 is a deficient number, since it is larger than the sum of its proper divisors (90134568298184).

105675011108068 is a wasteful number, since it uses less digits than its factorization.

105675011108068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554044281022 (or 1554044281020 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 49.

The spelling of 105675011108068 in words is "one hundred five trillion, six hundred seventy-five billion, eleven million, one hundred eight thousand, sixty-eight".