1009090900 has 36 divisors (see below), whose sum is σ = 2214350460. Its totient is φ = 399097600.

The previous prime is 1009090883. The next prime is 1009090909. The reversal of 1009090900 is 90909001.

It can be written as a sum of positive squares in 6 ways, for example, as 266256 + 1008824644 = 516^2 + 31762^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009090909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47791 + ... + 65590.

It is an arithmetic number, because the mean of its divisors is an integer number (61509735).

Almost surely, 2^1009090900 is an apocalyptic number.

1009090900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009090900 is an abundant number, since it is smaller than the sum of its proper divisors (1205259560).

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

1009090900 is a wasteful number, since it uses less digits than its factorization.

1009090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113484 (or 113477 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 1009090900 is about 31766.1911471930. The cubic root of 1009090900 is about 1003.0211633800.

Adding to 1009090900 its reverse (90909001), we get a palindrome (1099999901).

The spelling of 1009090900 in words is "one billion, nine million, ninety thousand, nine hundred".