106165017 has 60 divisors (see below), whose sum is σ = 190075860. Its totient is φ = 57097152.

The previous prime is 106165001. The next prime is 106165021. The reversal of 106165017 is 710561601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106165017 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 650 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 47734281 = 7644^2 + 6909^2 .

It is not a de Polignac number, because 106165017 - 2⁴ = 106165001 is a prime.

It is a super-2 number, since 2×106165017² = 22542021669220578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106165067) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6244993 + ... + 6245009.

It is an arithmetic number, because the mean of its divisors is an integer number (3167931).

Almost surely, 2^106165017 is an apocalyptic number.

106165017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106165017 is a deficient number, since it is larger than the sum of its proper divisors (83910843).

106165017 is an frugal number, since it uses more digits than its factorization.

106165017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 106165017 is about 10303.6409584185. The cubic root of 106165017 is about 473.5078077397.

The spelling of 106165017 in words is "one hundred six million, one hundred sixty-five thousand, seventeen".