103628800 has 180 divisors, whose sum is σ = 292543776. Its totient is φ = 36044800.

The previous prime is 103628783. The next prime is 103628801. The reversal of 103628800 is 8826301.

It is a super-3 number, since 3×103628800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103628801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4505589 + ... + 4505611.

Almost surely, 2^103628800 is an apocalyptic number.

103628800 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 103628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146271888).

103628800 is an abundant number, since it is smaller than the sum of its proper divisors (188914976).

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

103628800 is an equidigital number, since it uses as much as digits as its factorization.

103628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 103628800 is about 10179.8231811756. The cubic root of 103628800 is about 469.7067734886.

The spelling of 103628800 in words is "one hundred three million, six hundred twenty-eight thousand, eight hundred".