10198800 has 90 divisors (see below), whose sum is σ = 35405162. Its totient is φ = 2718720.

The previous prime is 10198789. The next prime is 10198817. The reversal of 10198800 is 889101.

10198800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 389376 + 9809424 = 624^2 + 3132^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2184 + ... + 5016.

Almost surely, 2^10198800 is an apocalyptic number.

10198800 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 10198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702581).

10198800 is an abundant number, since it is smaller than the sum of its proper divisors (25206362).

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

10198800 is a wasteful number, since it uses less digits than its factorization.

10198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10198800 is about 3193.5560117211. The cubic root of 10198800 is about 216.8617834743.

The spelling of 10198800 in words is "ten million, one hundred ninety-eight thousand, eight hundred".