10643200 has 54 divisors (see below), whose sum is σ = 26359424. Its totient is φ = 4254720.

The previous prime is 10643177. The next prime is 10643201. The reversal of 10643200 is 234601.

It is a super-2 number, since 2×10643200² = 226555412480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5569 + ... + 7231.

Almost surely, 2^10643200 is an apocalyptic number.

10643200 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 10643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179712).

10643200 is an abundant number, since it is smaller than the sum of its proper divisors (15716224).

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

10643200 is an equidigital number, since it uses as much as digits as its factorization.

10643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10643200 is about 3262.3917606566. The cubic root of 10643200 is about 219.9669371801.

Adding to 10643200 its reverse (234601), we get a palindrome (10877801).

The spelling of 10643200 in words is "ten million, six hundred forty-three thousand, two hundred".