98384100 has 144 divisors (see below), whose sum is σ = 305980416. Its totient is φ = 24320000.

The previous prime is 98384089. The next prime is 98384107. The reversal of 98384100 is 148389.

It is a super-2 number, since 2×98384100² = 19358862265620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98384107) 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, 515005 + ... + 515195.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2^98384100 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 98384100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

98384100 is an abundant number, since it is smaller than the sum of its proper divisors (207596316).

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

98384100 is a wasteful number, since it uses less digits than its factorization.

98384100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 98384100 is about 9918.8759443800. The cubic root of 98384100 is about 461.6451802367.

The spelling of 98384100 in words is "ninety-eight million, three hundred eighty-four thousand, one hundred".