103366422298800 has 720 divisors, whose sum is σ = 365613368193216. Its totient is φ = 27038269440000.

The previous prime is 103366422298793. The next prime is 103366422298801. The reversal of 103366422298800 is 8892224663301.

103366422298800 is a `hidden beast` number, since 1 + 0 + 336 + 6 + 4 + 2 + 229 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (103366422298801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 49671513760 + ... + 49671515840.

Almost surely, 2^{103366422298800} is an apocalyptic number.

103366422298800 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 103366422298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182806684096608).

103366422298800 is an abundant number, since it is smaller than the sum of its proper divisors (262246945894416).

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

103366422298800 is a wasteful number, since it uses less digits than its factorization.

103366422298800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 103366422298800 in words is "one hundred three trillion, three hundred sixty-six billion, four hundred twenty-two million, two hundred ninety-eight thousand, eight hundred".