10681429201 has 9 divisors (see below), whose sum is σ = 10759612059. Its totient is φ = 10603812600.

The previous prime is 10681429163. The next prime is 10681429211. The reversal of 10681429201 is 10292418601.

It is a happy number.

The square root of 10681429201 is 103351.

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., 117700801 + 10563728400 = 10849^2 + 102780^2 .

It is not a de Polignac number, because 10681429201 - 2¹¹ = 10681427153 is a prime.

It is a super-2 number, since 2×10681429201² (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 (10681429211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18706246 + ... + 18706816.

It is an arithmetic number, because the mean of its divisors is an integer number (1195512451).

Almost surely, 2^10681429201 is an apocalyptic number.

10681429201 is the 103351-st square number.

10681429201 is the 51676-th centered octagonal number.

It is an amenable number.

10681429201 is a deficient number, since it is larger than the sum of its proper divisors (78182858).

10681429201 is an frugal number, since it uses more digits than its factorization.

10681429201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 10681429201 in words is "ten billion, six hundred eighty-one million, four hundred twenty-nine thousand, two hundred one".