106129917 has 6 divisors (see below), whose sum is σ = 153298782. Its totient is φ = 70753272.

The previous prime is 106129883. The next prime is 106129993. The reversal of 106129917 is 719921601.

It can be written as a sum of positive squares in only one way, i.e., 106069401 + 60516 = 10299^2 + 246^2 .

It is not a de Polignac number, because 106129917 - 2¹¹ = 106127869 is a prime.

It is a super-2 number, since 2×106129917² = 22527118564853778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106129417) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5896098 + ... + 5896115.

It is an arithmetic number, because the mean of its divisors is an integer number (25549797).

Almost surely, 2^106129917 is an apocalyptic number.

It is an amenable number.

106129917 is a deficient number, since it is larger than the sum of its proper divisors (47168865).

106129917 is a wasteful number, since it uses less digits than its factorization.

106129917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11792219 (or 11792216 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 106129917 is about 10301.9375362113. The cubic root of 106129917 is about 473.4556186838.

The spelling of 106129917 in words is "one hundred six million, one hundred twenty-nine thousand, nine hundred seventeen".