98108400 has 240 divisors, whose sum is σ = 357338240. Its totient is φ = 22809600.

The previous prime is 98108383. The next prime is 98108401. The reversal of 98108400 is 480189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98108401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296235 + ... + 296565.

Almost surely, 2^98108400 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 98108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178669120).

98108400 is an abundant number, since it is smaller than the sum of its proper divisors (259229840).

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

98108400 is a wasteful number, since it uses less digits than its factorization.

98108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 98108400 is about 9904.9684502274. The cubic root of 98108400 is about 461.2135568037.

Adding to 98108400 its reverse (480189), we get a palindrome (98588589).

The spelling of 98108400 in words is "ninety-eight million, one hundred eight thousand, four hundred".