108304416000 has 864 divisors, whose sum is σ = 450371166336. Its totient is φ = 24698880000.

The previous prime is 108304415963. The next prime is 108304416029. The reversal of 108304416000 is 614403801.

108304416000 is a `hidden beast` number, since 10 + 8 + 3 + 0 + 4 + 41 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53854995 + ... + 53857005.

It is an arithmetic number, because the mean of its divisors is an integer number (521262924).

Almost surely, 2^108304416000 is an apocalyptic number.

108304416000 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 108304416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225185583168).

108304416000 is an abundant number, since it is smaller than the sum of its proper divisors (342066750336).

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

108304416000 is a wasteful number, since it uses less digits than its factorization.

108304416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 108304416000 its reverse (614403801), we get a palindrome (108918819801).

The spelling of 108304416000 in words is "one hundred eight billion, three hundred four million, four hundred sixteen thousand".