10272227904 has 189 divisors, whose sum is σ = 30474981849. Its totient is φ = 3308129280.

The previous prime is 10272227893. The next prime is 10272227909. The reversal of 10272227904 is 40972227201.

The square root of 10272227904 is 101352.

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., 494973504 + 9777254400 = 22248^2 + 98880^2 .

It is a super-2 number, since 2×10272227904² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10272227909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99730317 + ... + 99730419.

Almost surely, 2^10272227904 is an apocalyptic number.

10272227904 is the 101352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10272227904

10272227904 is an abundant number, since it is smaller than the sum of its proper divisors (20202753945).

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

10272227904 is an equidigital number, since it uses as much as digits as its factorization.

10272227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Multiplying 10272227904 by its sum of digits (36), we get a square (369800204544 = 608112²).

10272227904 divided by its sum of digits (36) gives a square (285339664 = 16892²).

Multiplying 10272227904 by its product of nonzero digits (28224), we get a square (289923360362496 = 17027136²).

The spelling of 10272227904 in words is "ten billion, two hundred seventy-two million, two hundred twenty-seven thousand, nine hundred four".