98104233600 has 288 divisors, whose sum is σ = 350568410400. Its totient is φ = 26123028480.

The previous prime is 98104233589. The next prime is 98104233611. The reversal of 98104233600 is 633240189.

98104233600 is a `hidden beast` number, since 9 + 8 + 1 + 0 + 42 + 3 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (98104233589) and next prime (98104233611).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23700331 + ... + 23704469.

It is an arithmetic number, because the mean of its divisors is an integer number (1217251425).

Almost surely, 2^98104233600 is an apocalyptic number.

98104233600 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 98104233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175284205200).

98104233600 is an abundant number, since it is smaller than the sum of its proper divisors (252464176800).

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

98104233600 is a wasteful number, since it uses less digits than its factorization.

98104233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 98104233600 its reverse (633240189), we get a palindrome (98737473789).

The spelling of 98104233600 in words is "ninety-eight billion, one hundred four million, two hundred thirty-three thousand, six hundred".