10005105 has 16 divisors (see below), whose sum is σ = 17463744. Its totient is φ = 4850880.

The previous prime is 10005091. The next prime is 10005119. The reversal of 10005105 is 50150001.

10005105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005091) and next prime (10005119).

It is not a de Polignac number, because 10005105 - 2⁴ = 10005089 is a prime.

It is a super-2 number, since 2×10005105² = 200204252122050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30154 + ... + 30483.

It is an arithmetic number, because the mean of its divisors is an integer number (1091484).

Almost surely, 2^10005105 is an apocalyptic number.

10005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005105 is a deficient number, since it is larger than the sum of its proper divisors (7458639).

10005105 is a wasteful number, since it uses less digits than its factorization.

10005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60656.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 10005105 is about 3163.0847285522. The cubic root of 10005105 is about 215.4801240634.

Adding to 10005105 its reverse (50150001), we get a palindrome (60155106).

Subtracting 10005105 from its reverse (50150001), we obtain a square (40144896 = 6336²).

It can be divided in two parts, 10005 and 105, that multiplied together give a triangular number (1050525 = T₁₄₄₉).

The spelling of 10005105 in words is "ten million, five thousand, one hundred five".