1009048104 has 80 divisors (see below), whose sum is σ = 2842921620. Its totient is φ = 334368000.

The previous prime is 1009048097. The next prime is 1009048129. The reversal of 1009048104 is 4018409001.

It can be written as a sum of positive squares in 2 ways, for example, as 1004763204 + 4284900 = 31698^2 + 2070^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 107604 + ... + 116604.

Almost surely, 2^1009048104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009048104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421460810).

1009048104 is an abundant number, since it is smaller than the sum of its proper divisors (1833873516).

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

1009048104 is a wasteful number, since it uses less digits than its factorization.

1009048104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1009048104 is about 31765.5175308069. The cubic root of 1009048104 is about 1003.0069836530.

The spelling of 1009048104 in words is "one billion, nine million, forty-eight thousand, one hundred four".