9998100090 has 96 divisors (see below), whose sum is σ = 28639308672. Its totient is φ = 2399760000.

The previous prime is 9998100083. The next prime is 9998100097. The reversal of 9998100090 is 900018999.

It is an interprime number because it is at equal distance from previous prime (9998100083) and next prime (9998100097).

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

It is not an unprimeable number, because it can be changed into a prime (9998100097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49995 + ... + 149985.

It is an arithmetic number, because the mean of its divisors is an integer number (298326132).

Almost surely, 2^9998100090 is an apocalyptic number.

9998100090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 99990×99991.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998100090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319654336).

9998100090 is an abundant number, since it is smaller than the sum of its proper divisors (18641208582).

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

9998100090 is a wasteful number, since it uses less digits than its factorization.

9998100090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100116 (or 100113 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 9998100090 is about 99990.4999987499. The cubic root of 9998100090 is about 2154.2982403230.

It can be divided in two parts, 99 and 98100090, that added together give a palindrome (98100189).

The spelling of 9998100090 in words is "nine billion, nine hundred ninety-eight million, one hundred thousand, ninety".