10705872068 has 6 divisors (see below), whose sum is σ = 18735276126. Its totient is φ = 5352936032.

The previous prime is 10705872049. The next prime is 10705872083. The reversal of 10705872068 is 86027850701.

10705872068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6781851904 + 3924020164 = 82352^2 + 62642^2 .

It is a super-2 number, since 2×10705872068² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1338234005 + ... + 1338234012.

It is an arithmetic number, because the mean of its divisors is an integer number (3122546021).

Almost surely, 2^10705872068 is an apocalyptic number.

It is an amenable number.

10705872068 is a deficient number, since it is larger than the sum of its proper divisors (8029404058).

10705872068 is a wasteful number, since it uses less digits than its factorization.

10705872068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676468021 (or 2676468019 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 10705872068 in words is "ten billion, seven hundred five million, eight hundred seventy-two thousand, sixty-eight".