10066602729681 has 27 divisors (see below), whose sum is σ = 15346500179049. Its totient is φ = 6357740135112.

The previous prime is 10066602729679. The next prime is 10066602729707. The reversal of 10066602729681 is 18692720666001.

The square root of 10066602729681 is 3172791.

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

It is not a de Polignac number, because 10066602729681 - 2¹ = 10066602729679 is a prime.

It is a super-2 number, since 2×10066602729681² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10066602729661) 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 in 26 ways as a sum of consecutive naturals, for example, 180821256 + ... + 180876918.

Almost surely, 2^{10066602729681} is an apocalyptic number.

10066602729681 is the 3172791-st square number.

10066602729681 is the 1586396-th centered octagonal number.

It is an amenable number.

10066602729681 is a deficient number, since it is larger than the sum of its proper divisors (5279897449368).

10066602729681 is an frugal number, since it uses more digits than its factorization.

10066602729681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111370 (or 55685 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10066602729681 in words is "ten trillion, sixty-six billion, six hundred two million, seven hundred twenty-nine thousand, six hundred eighty-one".