103983820800 has 624 divisors, whose sum is σ = 362721070080. Its totient is φ = 26247168000.

The previous prime is 103983820781. The next prime is 103983820807. The reversal of 103983820800 is 8028389301.

It is not an unprimeable number, because it can be changed into a prime (103983820807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580915111 + ... + 580915289.

Almost surely, 2^103983820800 is an apocalyptic number.

103983820800 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 103983820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181360535040).

103983820800 is an abundant number, since it is smaller than the sum of its proper divisors (258737249280).

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

103983820800 is a wasteful number, since it uses less digits than its factorization.

103983820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 103983820800 in words is "one hundred three billion, nine hundred eighty-three million, eight hundred twenty thousand, eight hundred".