1006083104 has 96 divisors (see below), whose sum is σ = 2190888000. Its totient is φ = 451943424.

The previous prime is 1006083097. The next prime is 1006083121. The reversal of 1006083104 is 4013806001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006083104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4393262 + ... + 4393490.

It is an arithmetic number, because the mean of its divisors is an integer number (22821750).

Almost surely, 2^1006083104 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 1006083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095444000).

1006083104 is an abundant number, since it is smaller than the sum of its proper divisors (1184804896).

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

1006083104 is a wasteful number, since it uses less digits than its factorization.

1006083104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1006083104 is about 31718.8130925481. The cubic root of 1006083104 is about 1002.0236035996.

Adding to 1006083104 its reverse (4013806001), we get a palindrome (5019889105).

The spelling of 1006083104 in words is "one billion, six million, eighty-three thousand, one hundred four".