9960079100 has 72 divisors (see below), whose sum is σ = 22104835200. Its totient is φ = 3894212800.

The previous prime is 9960079097. The next prime is 9960079117. The reversal of 9960079100 is 19700699.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051385 + ... + 1060815.

It is an arithmetic number, because the mean of its divisors is an integer number (307011600).

Almost surely, 2^9960079100 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 9960079100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052417600).

9960079100 is an abundant number, since it is smaller than the sum of its proper divisors (12144756100).

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

9960079100 is a wasteful number, since it uses less digits than its factorization.

9960079100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 41.

The square root of 9960079100 is about 99800.1958915913. The cubic root of 9960079100 is about 2151.5639675147.

Adding to 9960079100 its reverse (19700699), we get a palindrome (9979779799).

The spelling of 9960079100 in words is "nine billion, nine hundred sixty million, seventy-nine thousand, one hundred".