10666138729 has 9 divisors (see below), whose sum is σ = 10757904573. Its totient is φ = 10575151692.

The previous prime is 10666138667. The next prime is 10666138733. The reversal of 10666138729 is 92783166601.

The square root of 10666138729 is 103277.

It is a perfect power (a square), and thus also a powerful number.

10666138729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10666138729 - 2⁷ = 10666138601 is a prime.

It is a super-2 number, since 2×10666138729² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10666138739) 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 in 8 ways as a sum of consecutive naturals, for example, 14355132 + ... + 14355874.

Almost surely, 2^10666138729 is an apocalyptic number.

10666138729 is the 103277-th square number.

10666138729 is the 51639-th centered octagonal number.

It is an amenable number.

10666138729 is a deficient number, since it is larger than the sum of its proper divisors (91765844).

10666138729 is an frugal number, since it uses more digits than its factorization.

10666138729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 10666138729 by its sum of digits (49), we get a square (522640797721 = 722939²).

The spelling of 10666138729 in words is "ten billion, six hundred sixty-six million, one hundred thirty-eight thousand, seven hundred twenty-nine".