10143200 has 72 divisors (see below), whose sum is σ = 25623360. Its totient is φ = 3916800.

The previous prime is 10143187. The next prime is 10143223. The reversal of 10143200 is 234101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24596 + ... + 25004.

It is an arithmetic number, because the mean of its divisors is an integer number (355880).

Almost surely, 2^10143200 is an apocalyptic number.

10143200 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 10143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811680).

10143200 is an abundant number, since it is smaller than the sum of its proper divisors (15480160).

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

10143200 is a wasteful number, since it uses less digits than its factorization.

10143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10143200 is about 3184.8390854170. The cubic root of 10143200 is about 216.4669823614.

Adding to 10143200 its reverse (234101), we get a palindrome (10377301).

Subtracting from 10143200 its reverse (234101), we obtain a palindrome (9909099).

The spelling of 10143200 in words is "ten million, one hundred forty-three thousand, two hundred".