9983070900 has 324 divisors, whose sum is σ = 34832895552. Its totient is φ = 2371680000.

The previous prime is 9983070893. The next prime is 9983070901. The reversal of 9983070900 is 90703899.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983070901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36837765 + ... + 36838035.

Almost surely, 2^9983070900 is an apocalyptic number.

9983070900 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 9983070900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17416447776).

9983070900 is an abundant number, since it is smaller than the sum of its proper divisors (24849824652).

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

9983070900 is a wasteful number, since it uses less digits than its factorization.

9983070900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9983070900 is about 99915.3186453409. The cubic root of 9983070900 is about 2153.2182486545.

The spelling of 9983070900 in words is "nine billion, nine hundred eighty-three million, seventy thousand, nine hundred".