108943430400 has 648 divisors, whose sum is σ = 448235415264. Its totient is φ = 24728371200.

The previous prime is 108943430363. The next prime is 108943430413. The reversal of 108943430400 is 4034349801.

108943430400 is a `hidden beast` number, since 108 + 94 + 34 + 30 + 400 = 666.

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 71 ways as a sum of consecutive naturals, for example, 63301540 + ... + 63303260.

Almost surely, 2^108943430400 is an apocalyptic number.

108943430400 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 108943430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224117707632).

108943430400 is an abundant number, since it is smaller than the sum of its proper divisors (339291984864).

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

108943430400 is a wasteful number, since it uses less digits than its factorization.

108943430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 108943430400 in words is "one hundred eight billion, nine hundred forty-three million, four hundred thirty thousand, four hundred".