9960511100 has 72 divisors (see below), whose sum is σ = 23331944160. Its totient is φ = 3679540480.

The previous prime is 9960511097. The next prime is 9960511109. The reversal of 9960511100 is 11150699.

It is a happy number.

9960511100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960511109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7967 + ... + 141366.

It is an arithmetic number, because the mean of its divisors is an integer number (324054780).

Almost surely, 2^9960511100 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 9960511100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665972080).

9960511100 is an abundant number, since it is smaller than the sum of its proper divisors (13371433060).

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

9960511100 is a wasteful number, since it uses less digits than its factorization.

9960511100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149399 (or 149392 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 32.

The square root of 9960511100 is about 99802.3601925325. The cubic root of 9960511100 is about 2151.5950737669.

Adding to 9960511100 its reverse (11150699), we get a palindrome (9971661799).

The spelling of 9960511100 in words is "nine billion, nine hundred sixty million, five hundred eleven thousand, one hundred".