10705204071 has 12 divisors (see below), whose sum is σ = 15470841672. Its totient is φ = 7133216976.

The previous prime is 10705204057. The next prime is 10705204073. The reversal of 10705204071 is 17040250701.

10705204071 is a `hidden beast` number, since 1 + 0 + 70 + 520 + 4 + 0 + 71 = 666.

It is not a de Polignac number, because 10705204071 - 2¹¹ = 10705202023 is a prime.

It is a super-2 number, since 2×10705204071² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705204073) 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 11 ways as a sum of consecutive naturals, for example, 279841 + ... + 315786.

It is an arithmetic number, because the mean of its divisors is an integer number (1289236806).

Almost surely, 2^10705204071 is an apocalyptic number.

10705204071 is a deficient number, since it is larger than the sum of its proper divisors (4765637601).

10705204071 is a wasteful number, since it uses less digits than its factorization.

10705204071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597630 (or 597627 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 10705204071 its reverse (17040250701), we get a palindrome (27745454772).

The spelling of 10705204071 in words is "ten billion, seven hundred five million, two hundred four thousand, seventy-one".