9936102400 has 297 divisors, whose sum is σ = 28976179539. Its totient is φ = 3368386560.

The previous prime is 9936102377. The next prime is 9936102413. The reversal of 9936102400 is 42016399.

The square root of 9936102400 is 99680.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2067702784 + 7868399616 = 45472^2 + 88704^2 .

It is a super-2 number, since 2×9936102400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 111641556 + ... + 111641644.

Almost surely, 2^9936102400 is an apocalyptic number.

9936102400 is the 99680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9936102400

9936102400 is an abundant number, since it is smaller than the sum of its proper divisors (19040077139).

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

9936102400 is an equidigital number, since it uses as much as digits as its factorization.

9936102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The cubic root of 9936102400 is about 2149.8361079325.

Multiplying 9936102400 by its product of nonzero digits (11664), we get a square (115894698393600 = 10765440²).

Adding to 9936102400 its reverse (42016399), we get a palindrome (9978118799).

The spelling of 9936102400 in words is "nine billion, nine hundred thirty-six million, one hundred two thousand, four hundred".