10000900 has 108 divisors (see below), whose sum is σ = 27360228. Its totient is φ = 3144960.

The previous prime is 10000891. The next prime is 10000931. The reversal of 10000900 is 900001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1844164 + 8156736 = 1358^2 + 2856^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

10000900 is a modest number, since divided by 900 gives 100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63622 + ... + 63778.

Almost surely, 2^10000900 is an apocalyptic number.

10000900 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 10000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680114).

10000900 is an abundant number, since it is smaller than the sum of its proper divisors (17359328).

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

10000900 is a wasteful number, since it uses less digits than its factorization.

10000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 10000900 is about 3162.4199594614. The cubic root of 10000900 is about 215.4499321134.

Adding to 10000900 its reverse (900001), we get a palindrome (10900901).

It can be divided in two parts, 10000 and 900, that multiplied together give a square (9000000 = 3000²).

The spelling of 10000900 in words is "ten million, nine hundred", and thus it is an aban number.