1045099584 has 105 divisors (see below), whose sum is σ = 3104917717. Its totient is φ = 347590656.

The previous prime is 1045099571. The next prime is 1045099607. The reversal of 1045099584 is 4859905401.

The square root of 1045099584 is 32328.

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

1045099584 is a `hidden beast` number, since 10 + 4 + 50 + 9 + 9 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 638673984 + 406425600 = 25272^2 + 20160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2327392 + ... + 2327840.

Almost surely, 2^1045099584 is an apocalyptic number.

1045099584 is the 32328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045099584

1045099584 is an abundant number, since it is smaller than the sum of its proper divisors (2059818133).

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

1045099584 is an frugal number, since it uses more digits than its factorization.

1045099584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The cubic root of 1045099584 is about 1014.8126953428.

The spelling of 1045099584 in words is "one billion, forty-five million, ninety-nine thousand, five hundred eighty-four".