104652800 has 168 divisors, whose sum is σ = 300660816. Its totient is φ = 35389440.

The previous prime is 104652781. The next prime is 104652809. The reversal of 104652800 is 8256401.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104652800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104652809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1433564 + ... + 1433636.

Almost surely, 2^104652800 is an apocalyptic number.

104652800 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 104652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150330408).

104652800 is an abundant number, since it is smaller than the sum of its proper divisors (196008016).

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

104652800 is an frugal number, since it uses more digits than its factorization.

104652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 104652800 is about 10229.9951124133. The cubic root of 104652800 is about 471.2488291124.

The spelling of 104652800 in words is "one hundred four million, six hundred fifty-two thousand, eight hundred".