10208900 has 36 divisors (see below), whose sum is σ = 23860452. Its totient is φ = 3768960.

The previous prime is 10208897. The next prime is 10208921. The reversal of 10208900 is 980201.

It can be written as a sum of positive squares in 6 ways, for example, as 3818116 + 6390784 = 1954^2 + 2528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2627 + ... + 5226.

Almost surely, 2^10208900 is an apocalyptic number.

10208900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10208900 is an abundant number, since it is smaller than the sum of its proper divisors (13651552).

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

10208900 is a wasteful number, since it uses less digits than its factorization.

10208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10208900 is about 3195.1369297731. The cubic root of 10208900 is about 216.9333468406.

The spelling of 10208900 in words is "ten million, two hundred eight thousand, nine hundred".