10686804129 has 27 divisors (see below), whose sum is σ = 16406031187. Its totient is φ = 6702137664.

The previous prime is 10686804103. The next prime is 10686804133. The reversal of 10686804129 is 92140868601.

The square root of 10686804129 is 103377.

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

It can be written as a sum of positive squares in only one way, i.e., 8320176225 + 2366627904 = 91215^2 + 48648^2 .

It is not a de Polignac number, because 10686804129 - 2⁵ = 10686804097 is a prime.

It is a super-2 number, since 2×10686804129² (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 (10686804179) 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, 5271214 + ... + 5273240.

Almost surely, 2^10686804129 is an apocalyptic number.

10686804129 is the 103377-th square number.

10686804129 is the 51689-th centered octagonal number.

It is an amenable number.

10686804129 is a deficient number, since it is larger than the sum of its proper divisors (5719227058).

10686804129 is an frugal number, since it uses more digits than its factorization.

10686804129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10686804129 in words is "ten billion, six hundred eighty-six million, eight hundred four thousand, one hundred twenty-nine".