103225600 has 81 divisors (see below), whose sum is σ = 257527137. Its totient is φ = 40965120.

The previous prime is 103225589. The next prime is 103225601. The reversal of 103225600 is 6522301.

It is a happy number.

The square root of 103225600 is 10160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37161216 + 66064384 = 6096^2 + 8128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103225601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 812737 + ... + 812863.

Almost surely, 2^103225600 is an apocalyptic number.

103225600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103225600 is the 10160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103225600

103225600 is an abundant number, since it is smaller than the sum of its proper divisors (154301537).

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

103225600 is an frugal number, since it uses more digits than its factorization.

103225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 103225600 is about 469.0968017280.

Adding to 103225600 its reverse (6522301), we get a palindrome (109747901).

The spelling of 103225600 in words is "one hundred three million, two hundred twenty-five thousand, six hundred".