It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ 3!.
It is a tau number, because it is divible by the number of its divisors (90).
It is a nialpdrome in base 12.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103680.
103680 is a Friedman number, since it can be written as 80*6^(3+1+0), using all its digits and the basic arithmetic operations.
2103680 is an apocalyptic number.
103680 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 103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185493).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103680 is an frugal number, since it uses more digits than its factorization.
103680 is an odious number, because the sum of its binary digits is odd.
The square root of 103680 is about 321.9937887600. The cubic root of 103680 is about 46.9784116940.
Adding to 103680 its reverse (86301), we get a palindrome (189981).
The spelling of 103680 in words is "one hundred three thousand, six hundred eighty".