10543200 has 144 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 2675200.

The previous prime is 10543199. The next prime is 10543229. The reversal of 10543200 is 234501.

It is a super-2 number, since 2×10543200² = 222318132480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10543200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55105 + ... + 55295.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^10543200 is an apocalyptic number.

10543200 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 10543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

10543200 is an abundant number, since it is smaller than the sum of its proper divisors (25454496).

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

10543200 is a wasteful number, since it uses less digits than its factorization.

10543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10543200 is about 3247.0294116315. The cubic root of 10543200 is about 219.2758559635.

Adding to 10543200 its reverse (234501), we get a palindrome (10777701).

The spelling of 10543200 in words is "ten million, five hundred forty-three thousand, two hundred".