10006100705 has 4 divisors (see below), whose sum is σ = 12007320852. Its totient is φ = 8004880560.

The previous prime is 10006100681. The next prime is 10006100743. The reversal of 10006100705 is 50700160001.

10006100705 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 2361571216 + 7644529489 = 48596^2 + 87433^2 .

It is not a de Polignac number, because 10006100705 - 2¹² = 10006096609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1000610066 + ... + 1000610075.

It is an arithmetic number, because the mean of its divisors is an integer number (3001830213).

Almost surely, 2^10006100705 is an apocalyptic number.

It is an amenable number.

10006100705 is a deficient number, since it is larger than the sum of its proper divisors (2001220147).

10006100705 is an equidigital number, since it uses as much as digits as its factorization.

10006100705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001220146.

The product of its (nonzero) digits is 210, while the sum is 20.

Adding to 10006100705 its reverse (50700160001), we get a palindrome (60706260706).

The spelling of 10006100705 in words is "ten billion, six million, one hundred thousand, seven hundred five".