2004033105 has 12 divisors (see below), whose sum is σ = 3473657460. Its totient is φ = 1068817632.

The previous prime is 2004033089. The next prime is 2004033121. The reversal of 2004033105 is 5013304002.

It is an interprime number because it is at equal distance from previous prime (2004033089) and next prime (2004033121).

It can be written as a sum of positive squares in 2 ways, for example, as 260887104 + 1743146001 = 16152^2 + 41751^2 .

It is not a de Polignac number, because 2004033105 - 2⁴ = 2004033089 is a prime.

It is a super-2 number, since 2×2004033105² = 8032297371871882050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22266990 + ... + 22267079.

It is an arithmetic number, because the mean of its divisors is an integer number (289471455).

Almost surely, 2^2004033105 is an apocalyptic number.

It is an amenable number.

2004033105 is a deficient number, since it is larger than the sum of its proper divisors (1469624355).

2004033105 is a wasteful number, since it uses less digits than its factorization.

2004033105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44534080 (or 44534077 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2004033105 is about 44766.4283252528. The cubic root of 2004033105 is about 1260.7673802407.

Adding to 2004033105 its reverse (5013304002), we get a palindrome (7017337107).

The spelling of 2004033105 in words is "two billion, four million, thirty-three thousand, one hundred five".