10004002305 has 32 divisors (see below), whose sum is σ = 17605876608. Its totient is φ = 4850415680.

The previous prime is 10004002301. The next prime is 10004002361. The reversal of 10004002305 is 50320040001.

It is not a de Polignac number, because 10004002305 - 2² = 10004002301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10004002301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 230574 + ... + 270503.

It is an arithmetic number, because the mean of its divisors is an integer number (550183644).

Almost surely, 2^10004002305 is an apocalyptic number.

10004002305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10004002305 is a deficient number, since it is larger than the sum of its proper divisors (7601874303).

10004002305 is an equidigital number, since it uses as much as digits as its factorization.

10004002305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501118 (or 501096 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10004002305 its reverse (50320040001), we get a palindrome (60324042306).

The spelling of 10004002305 in words is "ten billion, four million, two thousand, three hundred five".