103672800 has 648 divisors, whose sum is σ = 486250128. Its totient is φ = 20275200.

The previous prime is 103672781. The next prime is 103672813. The reversal of 103672800 is 8276301.

103672800 is a nontrivial binomial coefficient, being equal to C(14400, 2).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6098392 + ... + 6098408.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^103672800 is an apocalyptic number.

103672800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103672800 is the 14399-th triangular number and also the 7200-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

103672800 is an abundant number, since it is smaller than the sum of its proper divisors (382577328).

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

103672800 is a wasteful number, since it uses less digits than its factorization.

103672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103672800 is about 10181.9840895574. The cubic root of 103672800 is about 469.7732420562.

The spelling of 103672800 in words is "one hundred three million, six hundred seventy-two thousand, eight hundred".