9936180100 has 144 divisors (see below), whose sum is σ = 27809470080. Its totient is φ = 2990131200.

The previous prime is 9936180053. The next prime is 9936180103. The reversal of 9936180100 is 10816399.

It is a self number, because there is not a number n which added to its sum of digits gives 9936180100.

It is not an unprimeable number, because it can be changed into a prime (9936180103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201052 + ... + 245548.

It is an arithmetic number, because the mean of its divisors is an integer number (193121320).

Almost surely, 2^9936180100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9936180100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904735040).

9936180100 is an abundant number, since it is smaller than the sum of its proper divisors (17873289980).

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

9936180100 is a wasteful number, since it uses less digits than its factorization.

9936180100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44558 (or 44551 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 9936180100 is about 99680.3897464291. The cubic root of 9936180100 is about 2149.8417118008.

Adding to 9936180100 its reverse (10816399), we get a palindrome (9946996499).

It can be divided in two parts, 9936 and 180100, that added together give a triangular number (190036 = T₆₁₆).

The spelling of 9936180100 in words is "nine billion, nine hundred thirty-six million, one hundred eighty thousand, one hundred".