10225600 has 168 divisors, whose sum is σ = 31747968. Its totient is φ = 3148800.

The previous prime is 10225597. The next prime is 10225609. The reversal of 10225600 is 652201.

It is a happy number.

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 (10225609) 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, 123159 + ... + 123241.

It is an arithmetic number, because the mean of its divisors is an integer number (188976).

Almost surely, 2^10225600 is an apocalyptic number.

10225600 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 10225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873984).

10225600 is an abundant number, since it is smaller than the sum of its proper divisors (21522368).

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

10225600 is a wasteful number, since it uses less digits than its factorization.

10225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10225600 is about 3197.7492084277. The cubic root of 10225600 is about 217.0515709153.

Adding to 10225600 its reverse (652201), we get a palindrome (10877801).

The spelling of 10225600 in words is "ten million, two hundred twenty-five thousand, six hundred".