106017029 has 2 divisors, whose sum is σ = 106017030. Its totient is φ = 106017028.

The previous prime is 106016971. The next prime is 106017047. The reversal of 106017029 is 920710601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105062500 + 954529 = 10250^2 + 977^2 .

It is a cyclic number.

It is not a de Polignac number, because 106017029 - 2¹⁶ = 105951493 is a prime.

It is a super-2 number, since 2×106017029² = 22479220875973682, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106016989 and 106017007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106017229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53008514 + 53008515.

It is an arithmetic number, because the mean of its divisors is an integer number (53008515).

Almost surely, 2^106017029 is an apocalyptic number.

It is an amenable number.

106017029 is a deficient number, since it is larger than the sum of its proper divisors (1).

106017029 is an equidigital number, since it uses as much as digits as its factorization.

106017029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 106017029 is about 10296.4571091225. The cubic root of 106017029 is about 473.2876911069.

The spelling of 106017029 in words is "one hundred six million, seventeen thousand, twenty-nine".