9822792100 has 243 divisors, whose sum is σ = 25367116201. Its totient is φ = 3298380800.

The previous prime is 9822792097. The next prime is 9822792107. The reversal of 9822792100 is 12972289.

The square root of 9822792100 is 99110.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1511187876 + 8311604224 = 38874^2 + 91168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9822792107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 185335674 + ... + 185335726.

Almost surely, 2^9822792100 is an apocalyptic number.

9822792100 is the 99110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9822792100

9822792100 is an abundant number, since it is smaller than the sum of its proper divisors (15544324101).

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

9822792100 is a wasteful number, since it uses less digits than its factorization.

9822792100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The cubic root of 9822792100 is about 2141.6326740573.

The spelling of 9822792100 in words is "nine billion, eight hundred twenty-two million, seven hundred ninety-two thousand, one hundred".