10705577261 has 2 divisors, whose sum is σ = 10705577262. Its totient is φ = 10705577260.

The previous prime is 10705577257. The next prime is 10705577291. The reversal of 10705577261 is 16277550701.

It is a happy number.

10705577261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6590354761 + 4115222500 = 81181^2 + 64150^2 .

It is a cyclic number.

It is not a de Polignac number, because 10705577261 - 2² = 10705577257 is a prime.

It is a super-2 number, since 2×10705577261² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10705577291) by changing a digit.

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, 5352788630 + 5352788631.

It is an arithmetic number, because the mean of its divisors is an integer number (5352788631).

Almost surely, 2^10705577261 is an apocalyptic number.

It is an amenable number.

10705577261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705577261 is an equidigital number, since it uses as much as digits as its factorization.

10705577261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102900, while the sum is 41.

The spelling of 10705577261 in words is "ten billion, seven hundred five million, five hundred seventy-seven thousand, two hundred sixty-one".