10007105 has 4 divisors (see below), whose sum is σ = 12008532. Its totient is φ = 8005680.

The previous prime is 10007087. The next prime is 10007143. The reversal of 10007105 is 50170001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7745089 + 2262016 = 2783^2 + 1504^2 .

It is not a de Polignac number, because 10007105 - 2⁸ = 10006849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10007105.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1000706 + ... + 1000715.

It is an arithmetic number, because the mean of its divisors is an integer number (3002133).

Almost surely, 2^10007105 is an apocalyptic number.

It is an amenable number.

10007105 is a deficient number, since it is larger than the sum of its proper divisors (2001427).

10007105 is an equidigital number, since it uses as much as digits as its factorization.

10007105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001426.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 10007105 is about 3163.4008598342. The cubic root of 10007105 is about 215.4944811186.

Adding to 10007105 its reverse (50170001), we get a palindrome (60177106).

The spelling of 10007105 in words is "ten million, seven thousand, one hundred five".