10705256923771 has 2 divisors, whose sum is σ = 10705256923772. Its totient is φ = 10705256923770.

The previous prime is 10705256923747. The next prime is 10705256923783. The reversal of 10705256923771 is 17732965250701.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10705256923771 - 2³¹ = 10703109440123 is a prime.

It is a super-3 number, since 3×10705256923771³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10705256623771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5352628461885 + 5352628461886.

It is an arithmetic number, because the mean of its divisors is an integer number (5352628461886).

Almost surely, 2^{10705256923771} is an apocalyptic number.

10705256923771 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705256923771 is an equidigital number, since it uses as much as digits as its factorization.

10705256923771 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5556600, while the sum is 55.

The spelling of 10705256923771 in words is "ten trillion, seven hundred five billion, two hundred fifty-six million, nine hundred twenty-three thousand, seven hundred seventy-one".