10006106022165 has 32 divisors (see below), whose sum is σ = 17602724560896. Its totient is φ = 4813244976960.

The previous prime is 10006106022163. The next prime is 10006106022173. The reversal of 10006106022165 is 56122060160001.

It is not a de Polignac number, because 10006106022165 - 2¹ = 10006106022163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006106022163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238731277 + ... + 238773186.

It is an arithmetic number, because the mean of its divisors is an integer number (550085142528).

Almost surely, 2^{10006106022165} is an apocalyptic number.

10006106022165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10006106022165 is a deficient number, since it is larger than the sum of its proper divisors (7596618538731).

10006106022165 is a wasteful number, since it uses less digits than its factorization.

10006106022165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477504609.

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 10006106022165 its reverse (56122060160001), we get a palindrome (66128166182166).

The spelling of 10006106022165 in words is "ten trillion, six billion, one hundred six million, twenty-two thousand, one hundred sixty-five".