103320354816000 has 3040 divisors, whose sum is σ = 452227786762752. Its totient is φ = 22983317913600.

The previous prime is 103320354815969. The next prime is 103320354816047. The reversal of 103320354816000 is 618453023301.

103320354816000 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 0 + 3 + 5 + 48 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1244823551959 + ... + 1244823552041.

Almost surely, 2^{103320354816000} is an apocalyptic number.

103320354816000 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 103320354816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226113893381376).

103320354816000 is an abundant number, since it is smaller than the sum of its proper divisors (348907431946752).

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

103320354816000 is an frugal number, since it uses more digits than its factorization.

103320354816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 103320354816000 in words is "one hundred three trillion, three hundred twenty billion, three hundred fifty-four million, eight hundred sixteen thousand".