10722809601 has 27 divisors (see below), whose sum is σ = 18020892513. Its totient is φ = 6126077160.

The previous prime is 10722809579. The next prime is 10722809611. The reversal of 10722809601 is 10690822701.

The square root of 10722809601 is 103551.

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

It is not a de Polignac number, because 10722809601 - 2⁵ = 10722809569 is a prime.

It is a super-2 number, since 2×10722809601² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10722809611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2172106 + ... + 2177036.

Almost surely, 2^10722809601 is an apocalyptic number.

10722809601 is the 103551-st square number.

10722809601 is the 51776-th centered octagonal number.

It is an amenable number.

10722809601 is a deficient number, since it is larger than the sum of its proper divisors (7298082912).

10722809601 is an frugal number, since it uses more digits than its factorization.

10722809601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 10722809601 by its sum of digits (36), we get a square (386021145636 = 621306²).

The spelling of 10722809601 in words is "ten billion, seven hundred twenty-two million, eight hundred nine thousand, six hundred one".