10245200 has 60 divisors (see below), whose sum is σ = 28138080. Its totient is φ = 3511680.

The previous prime is 10245197. The next prime is 10245211. The reversal of 10245200 is 254201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 971 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (468968).

Almost surely, 2^10245200 is an apocalyptic number.

10245200 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 10245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069040).

10245200 is an abundant number, since it is smaller than the sum of its proper divisors (17892880).

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

10245200 is a wasteful number, since it uses less digits than its factorization.

10245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10245200 is about 3200.8123968768. The cubic root of 10245200 is about 217.1901608459.

Adding to 10245200 its reverse (254201), we get a palindrome (10499401).

Subtracting from 10245200 its reverse (254201), we obtain a palindrome (9990999).

The spelling of 10245200 in words is "ten million, two hundred forty-five thousand, two hundred".