106166650606177 has 16 divisors (see below), whose sum is σ = 129795007668480. Its totient is φ = 84764086622208.

The previous prime is 106166650606153. The next prime is 106166650606199. The reversal of 106166650606177 is 771606056661601.

It is not a de Polignac number, because 106166650606177 - 2¹⁵ = 106166650573409 is a prime.

It is a super-2 number, since 2×106166650606177² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106166650607177) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4598734477 + ... + 4598757562.

It is an arithmetic number, because the mean of its divisors is an integer number (8112187979280).

Almost surely, 2^{106166650606177} is an apocalyptic number.

106166650606177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106166650606177 is a deficient number, since it is larger than the sum of its proper divisors (23628357062303).

106166650606177 is an equidigital number, since it uses as much as digits as its factorization.

106166650606177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197492160.

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 106166650606177 in words is "one hundred six trillion, one hundred sixty-six billion, six hundred fifty million, six hundred six thousand, one hundred seventy-seven".