5005105 has 24 divisors (see below), whose sum is σ = 7223040. Its totient is φ = 3316320.

The previous prime is 5005087. The next prime is 5005127. The reversal of 5005105 is 5015005.

5005105 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5005105 - 2⁷ = 5004977 is a prime.

It is a super-2 number, since 2×5005105² = 50102152122050, which contains 22 as substring.

5005105 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7266 + ... + 7924.

It is an arithmetic number, because the mean of its divisors is an integer number (300960).

Almost surely, 2^5005105 is an apocalyptic number.

It is an amenable number.

5005105 is a deficient number, since it is larger than the sum of its proper divisors (2217935).

5005105 is a wasteful number, since it uses less digits than its factorization.

5005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 5005105 is about 2237.2091989798. The cubic root of 5005105 is about 171.0557710542.

It can be divided in two parts, 5005 and 105, that multiplied together give a palindrome (525525).

The spelling of 5005105 in words is "five million, five thousand, one hundred five".