9985940100 has 216 divisors, whose sum is σ = 32759347712. Its totient is φ = 2541196800.

The previous prime is 9985940099. The next prime is 9985940113. The reversal of 9985940100 is 10495899.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2034249 + ... + 2039151.

Almost surely, 2^9985940100 is an apocalyptic number.

9985940100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9985940100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379673856).

9985940100 is an abundant number, since it is smaller than the sum of its proper divisors (22773407612).

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

9985940100 is a wasteful number, since it uses less digits than its factorization.

With its successor (9985940101) it forms an eRAP, since the sums of their prime factors are consecutive (5027 and 5028).

9985940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9985940100 is about 99929.6757725151. The cubic root of 9985940100 is about 2153.4245119071.

The spelling of 9985940100 in words is "nine billion, nine hundred eighty-five million, nine hundred forty thousand, one hundred".