108398594800 has 180 divisors, whose sum is σ = 276829388680. Its totient is φ = 40677396480.

The previous prime is 108398594783. The next prime is 108398594851. The reversal of 108398594800 is 8495893801.

It is a super-2 number, since 2×108398594800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97043842 + ... + 97044958.

Almost surely, 2^108398594800 is an apocalyptic number.

108398594800 is a gapful number since it is divisible by the number (10) 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 108398594800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138414694340).

108398594800 is an abundant number, since it is smaller than the sum of its proper divisors (168430793880).

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

108398594800 is a wasteful number, since it uses less digits than its factorization.

108398594800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 108398594800 in words is "one hundred eight billion, three hundred ninety-eight million, five hundred ninety-four thousand, eight hundred".