10705905971 has 2 divisors, whose sum is σ = 10705905972. Its totient is φ = 10705905970.

The previous prime is 10705905943. The next prime is 10705905997. The reversal of 10705905971 is 17950950701.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10705905971 - 2¹⁰ = 10705904947 is a prime.

It is a super-2 number, since 2×10705905971² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10705905271) 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 as a sum of consecutive naturals, namely, 5352952985 + 5352952986.

It is an arithmetic number, because the mean of its divisors is an integer number (5352952986).

Almost surely, 2^10705905971 is an apocalyptic number.

10705905971 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705905971 is an equidigital number, since it uses as much as digits as its factorization.

10705905971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 99225, while the sum is 44.

The spelling of 10705905971 in words is "ten billion, seven hundred five million, nine hundred five thousand, nine hundred seventy-one".