9984935100 has 216 divisors, whose sum is σ = 34848686208. Its totient is φ = 2161987200.

The previous prime is 9984935087. The next prime is 9984935113. The reversal of 9984935100 is 15394899.

It is an interprime number because it is at equal distance from previous prime (9984935087) and next prime (9984935113).

It is a self number, because there is not a number n which added to its sum of digits gives 9984935100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 751515 + ... + 764685.

Almost surely, 2^9984935100 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 9984935100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424343104).

9984935100 is an abundant number, since it is smaller than the sum of its proper divisors (24863751108).

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

9984935100 is a wasteful number, since it uses less digits than its factorization.

9984935100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13233 (or 13207 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 9984935100 is about 99924.6471097096. The cubic root of 9984935100 is about 2153.3522681918.

The spelling of 9984935100 in words is "nine billion, nine hundred eighty-four million, nine hundred thirty-five thousand, one hundred".