10006105 has 16 divisors (see below), whose sum is σ = 12363840. Its totient is φ = 7771072.

The previous prime is 10006097. The next prime is 10006109. The reversal of 10006105 is 50160001.

10006105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10006105 - 2³ = 10006097 is a prime.

10006105 is a modest number, since divided by 6105 gives 10 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10006109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31407 + ... + 31723.

It is an arithmetic number, because the mean of its divisors is an integer number (772740).

Almost surely, 2^10006105 is an apocalyptic number.

It is an amenable number.

10006105 is a deficient number, since it is larger than the sum of its proper divisors (2357735).

10006105 is a wasteful number, since it uses less digits than its factorization.

10006105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10006105 is about 3163.2427981424. The cubic root of 10006105 is about 215.4873028302.

Adding to 10006105 its reverse (50160001), we get a palindrome (60166106).

The spelling of 10006105 in words is "ten million, six thousand, one hundred five".