2004230105305 has 32 divisors (see below), whose sum is σ = 2480764075776. Its totient is φ = 1553472000000.

The previous prime is 2004230105287. The next prime is 2004230105309. The reversal of 2004230105305 is 5035010324002.

It is not a de Polignac number, because 2004230105305 - 2¹¹ = 2004230103257 is a prime.

It is a super-3 number, since 3×2004230105305³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2004230105305.

It is not an unprimeable number, because it can be changed into a prime (2004230105309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143964745 + ... + 143978665.

It is an arithmetic number, because the mean of its divisors is an integer number (77523877368).

Almost surely, 2^{2004230105305} is an apocalyptic number.

It is an amenable number.

2004230105305 is a deficient number, since it is larger than the sum of its proper divisors (476533970471).

2004230105305 is a wasteful number, since it uses less digits than its factorization.

2004230105305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769.

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 2004230105305 its reverse (5035010324002), we get a palindrome (7039240429307).

The spelling of 2004230105305 in words is "two trillion, four billion, two hundred thirty million, one hundred five thousand, three hundred five".