10722188304 has 45 divisors (see below), whose sum is σ = 30010713213. Its totient is φ = 3573648576.

The previous prime is 10722188273. The next prime is 10722188329. The reversal of 10722188304 is 40388122701.

The square root of 10722188304 is 103548.

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

10722188304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8254085904 + 2468102400 = 90852^2 + 49680^2 .

It is a super-2 number, since 2×10722188304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 1238262 + ... + 1246890.

Almost surely, 2^10722188304 is an apocalyptic number.

10722188304 is the 103548-th square number.

It is an amenable number.

10722188304 is an abundant number, since it is smaller than the sum of its proper divisors (19288524909).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10722188304 is an frugal number, since it uses more digits than its factorization.

10722188304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 10722188304 by its sum of digits (36), we get a square (385998778944 = 621288²).

10722188304 divided by its sum of digits (36) gives a square (297838564 = 17258²).

The spelling of 10722188304 in words is "ten billion, seven hundred twenty-two million, one hundred eighty-eight thousand, three hundred four".