108225307200 has 336 divisors, whose sum is σ = 374444605440. Its totient is φ = 27290880000.

The previous prime is 108225307139. The next prime is 108225307241. The reversal of 108225307200 is 2703522801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94026625 + ... + 94027775.

Almost surely, 2^108225307200 is an apocalyptic number.

108225307200 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 108225307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187222302720).

108225307200 is an abundant number, since it is smaller than the sum of its proper divisors (266219298240).

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

108225307200 is a wasteful number, since it uses less digits than its factorization.

108225307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 108225307200 in words is "one hundred eight billion, two hundred twenty-five million, three hundred seven thousand, two hundred".