10268200 has 24 divisors (see below), whose sum is σ = 23874030. Its totient is φ = 4107200.

The previous prime is 10268177. The next prime is 10268207. The reversal of 10268200 is 286201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8964036 + 1304164 = 2994^2 + 1142^2 .

It is not an unprimeable number, because it can be changed into a prime (10268207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25471 + ... + 25870.

Almost surely, 2^10268200 is an apocalyptic number.

10268200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10268200 is an abundant number, since it is smaller than the sum of its proper divisors (13605830).

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

10268200 is a wasteful number, since it uses less digits than its factorization.

10268200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51357 (or 51348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10268200 is about 3204.4032205701. The cubic root of 10268200 is about 217.3525666628.

The spelling of 10268200 in words is "ten million, two hundred sixty-eight thousand, two hundred".