1009332900 has 135 divisors (see below), whose sum is σ = 3281153491. Its totient is φ = 268392960.

The previous prime is 1009332893. The next prime is 1009332913. The reversal of 1009332900 is 92339001.

The square root of 1009332900 is 31770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55264356 + 954068544 = 7434^2 + 30888^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2859124 + ... + 2859476.

Almost surely, 2^1009332900 is an apocalyptic number.

1009332900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009332900 is the 31770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009332900

1009332900 is an abundant number, since it is smaller than the sum of its proper divisors (2271820591).

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

1009332900 is an equidigital number, since it uses as much as digits as its factorization.

1009332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The cubic root of 1009332900 is about 1003.1013384234.

The spelling of 1009332900 in words is "one billion, nine million, three hundred thirty-two thousand, nine hundred".