10211506705 has 16 divisors (see below), whose sum is σ = 13108389840. Its totient is φ = 7609393152.

The previous prime is 10211506691. The next prime is 10211506729. The reversal of 10211506705 is 50760511201.

It is a Cunningham number, because it is equal to 101052²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 10211506704 = 1^2 + 101052^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211506705 - 2⁷ = 10211506577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611010 + ... + 627499.

It is an arithmetic number, because the mean of its divisors is an integer number (819274365).

Almost surely, 2^10211506705 is an apocalyptic number.

It is an amenable number.

10211506705 is a deficient number, since it is larger than the sum of its proper divisors (2896883135).

10211506705 is a wasteful number, since it uses less digits than its factorization.

10211506705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238628.

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 10211506705 in words is "ten billion, two hundred eleven million, five hundred six thousand, seven hundred five".