10005005 has 8 divisors (see below), whose sum is σ = 12050424. Its totient is φ = 7974400.

The previous prime is 10004983. The next prime is 10005007. The reversal of 10005005 is 50050001.

10005005 = T₁₉₉₈ + T₁₉₉₉ + ... + T₂₀₀₂.

It can be written as a sum of positive squares in 4 ways, for example, as 88804 + 9916201 = 298^2 + 3149^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10005005 - 2⁶ = 10004941 is a prime.

It is a Duffinian number.

10005005 is a modest number, since divided by 5005 gives 10 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2156 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (1506303).

Almost surely, 2^10005005 is an apocalyptic number.

It is an amenable number.

10005005 is a deficient number, since it is larger than the sum of its proper divisors (2045419).

10005005 is an equidigital number, since it uses as much as digits as its factorization.

10005005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407.

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 10005005 is about 3163.0689211587. The cubic root of 10005005 is about 215.4794061604.

Adding to 10005005 its reverse (50050001), we get a palindrome (60055006).

The spelling of 10005005 in words is "ten million, five thousand, five".