107381216800 has 576 divisors, whose sum is σ = 320145509376. Its totient is φ = 34649395200.

The previous prime is 107381216797. The next prime is 107381216801. The reversal of 107381216800 is 8612183701.

It is a self number, because there is not a number n which added to its sum of digits gives 107381216800.

It is not an unprimeable number, because it can be changed into a prime (107381216801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408293469 + ... + 408293731.

It is an arithmetic number, because the mean of its divisors is an integer number (555808176).

Almost surely, 2^107381216800 is an apocalyptic number.

107381216800 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 107381216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160072754688).

107381216800 is an abundant number, since it is smaller than the sum of its proper divisors (212764292576).

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

107381216800 is a wasteful number, since it uses less digits than its factorization.

107381216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 107381216800 in words is "one hundred seven billion, three hundred eighty-one million, two hundred sixteen thousand, eight hundred".