10189200 has 120 divisors (see below), whose sum is σ = 37332928. Its totient is φ = 2327040.

The previous prime is 10189189. The next prime is 10189213. The reversal of 10189200 is 298101.

10189200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7794 + ... + 9006.

Almost surely, 2^10189200 is an apocalyptic number.

10189200 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 10189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18666464).

10189200 is an abundant number, since it is smaller than the sum of its proper divisors (27143728).

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

10189200 is a wasteful number, since it uses less digits than its factorization.

10189200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 10189200 is about 3192.0526311450. The cubic root of 10189200 is about 216.7937190394.

The spelling of 10189200 in words is "ten million, one hundred eighty-nine thousand, two hundred".