1000000000900 has 36 divisors (see below), whose sum is σ = 2170071388660. Its totient is φ = 399986841600.

The previous prime is 1000000000841. The next prime is 1000000000903. The reversal of 1000000000900 is 90000000001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 170621868096 + 829378132804 = 413064^2 + 910702^2 .

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

1000000000900 is a modest number, since divided by 900 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000000000903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3241360 + ... + 3536440.

Almost surely, 2^{1000000000900} is an apocalyptic number.

1000000000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000000000900 is an abundant number, since it is smaller than the sum of its proper divisors (1170071387760).

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

1000000000900 is a wasteful number, since it uses less digits than its factorization.

1000000000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328984 (or 328977 counting only the distinct ones).

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

Adding to 1000000000900 its reverse (90000000001), we get a palindrome (1090000000901).

The spelling of 1000000000900 in words is "one trillion, nine hundred", and thus it is an aban number.