10008900 has 144 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 2419200.

The previous prime is 10008881. The next prime is 10008917. The reversal of 10008900 is 980001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29532 + ... + 29868.

Almost surely, 2^10008900 is an apocalyptic number.

10008900 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 10008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

10008900 is an abundant number, since it is smaller than the sum of its proper divisors (25197180).

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

10008900 is a wasteful number, since it uses less digits than its factorization.

10008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10008900 is about 3163.6845607614. The cubic root of 10008900 is about 215.5073649469.

Adding to 10008900 its reverse (980001), we get a palindrome (10988901).

The spelling of 10008900 in words is "ten million, eight thousand, nine hundred".