10004115300305 has 32 divisors (see below), whose sum is σ = 13731865542144. Its totient is φ = 6853998237696.

The previous prime is 10004115300287. The next prime is 10004115300307. The reversal of 10004115300305 is 50300351140001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004115300305 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004115300307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678099809 + ... + 678114561.

It is an arithmetic number, because the mean of its divisors is an integer number (429120798192).

Almost surely, 2^{10004115300305} is an apocalyptic number.

It is an amenable number.

10004115300305 is a deficient number, since it is larger than the sum of its proper divisors (3727750241839).

10004115300305 is a wasteful number, since it uses less digits than its factorization.

10004115300305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30305.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 10004115300305 its reverse (50300351140001), we get a palindrome (60304466440306).

The spelling of 10004115300305 in words is "ten trillion, four billion, one hundred fifteen million, three hundred thousand, three hundred five".