10243200 has 192 divisors, whose sum is σ = 37185120. Its totient is φ = 2457600.

The previous prime is 10243199. The next prime is 10243201. The reversal of 10243200 is 234201.

It is an interprime number because it is at equal distance from previous prime (10243199) and next prime (10243201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105552 + ... + 105648.

Almost surely, 2^10243200 is an apocalyptic number.

10243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3200×3201.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592560).

10243200 is an abundant number, since it is smaller than the sum of its proper divisors (26941920).

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

10243200 is a wasteful number, since it uses less digits than its factorization.

10243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10243200 is about 3200.4999609436. The cubic root of 10243200 is about 217.1760271185.

Adding to 10243200 its reverse (234201), we get a palindrome (10477401).

It can be divided in two parts, 1024 and 3200, that added together give a palindrome (4224).

The spelling of 10243200 in words is "ten million, two hundred forty-three thousand, two hundred".