9998100 has 216 divisors, whose sum is σ = 38400320. Its totient is φ = 2185920.

The previous prime is 9998099. The next prime is 9998117. The reversal of 9998100 is 18999.

It is a super-2 number, since 2×9998100² = 199924007220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

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, 434689 + ... + 434711.

Almost surely, 2^9998100 is an apocalyptic number.

9998100 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 9998100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200160).

9998100 is an abundant number, since it is smaller than the sum of its proper divisors (28402220).

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

9998100 is a wasteful number, since it uses less digits than its factorization.

9998100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 9998100 is about 3161.9772295195. The cubic root of 9998100 is about 215.4298233859.

The spelling of 9998100 in words is "nine million, nine hundred ninety-eight thousand, one hundred".