10606100000105 has 8 divisors (see below), whose sum is σ = 12935964590664. Its totient is φ = 8345783606400.

The previous prime is 10606100000087. The next prime is 10606100000239. The reversal of 10606100000105 is 50100000160601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 768273286144 + 9837826713961 = 876512^2 + 3136531^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10606100000105 - 2²⁶ = 10606032891241 is a prime.

It is a super-2 number, since 2×10606100000105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17387048876 + ... + 17387049485.

It is an arithmetic number, because the mean of its divisors is an integer number (1616995573833).

Almost surely, 2^{10606100000105} is an apocalyptic number.

It is an amenable number.

10606100000105 is a deficient number, since it is larger than the sum of its proper divisors (2329864590559).

10606100000105 is an equidigital number, since it uses as much as digits as its factorization.

10606100000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34774098427.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10606100000105 its reverse (50100000160601), we get a palindrome (60706100160706).

The spelling of 10606100000105 in words is "ten trillion, six hundred six billion, one hundred million, one hundred five", and thus it is an aban number.