106128177 has 16 divisors (see below), whose sum is σ = 143309760. Its totient is φ = 69854400.

The previous prime is 106128149. The next prime is 106128223. The reversal of 106128177 is 771821601.

It is not a de Polignac number, because 106128177 - 2⁸ = 106127921 is a prime.

It is a super-2 number, since 2×106128177² = 22526379906686658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106128137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160227 + ... + 160887.

It is an arithmetic number, because the mean of its divisors is an integer number (8956860).

Almost surely, 2^106128177 is an apocalyptic number.

It is an amenable number.

106128177 is a deficient number, since it is larger than the sum of its proper divisors (37181583).

106128177 is a wasteful number, since it uses less digits than its factorization.

106128177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264.

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 106128177 is about 10301.8530857317. The cubic root of 106128177 is about 473.4530312347.

Adding to 106128177 its reverse (771821601), we get a palindrome (877949778).

The spelling of 106128177 in words is "one hundred six million, one hundred twenty-eight thousand, one hundred seventy-seven".