106417 has 2 divisors, whose sum is σ = 106418. Its totient is φ = 106416.

The previous prime is 106411. The next prime is 106427. The reversal of 106417 is 714601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 6561 = 316^2 + 81^2 .

It is an emirp because it is prime and its reverse (714601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106417 - 2¹¹ = 104369 is a prime.

It is a super-2 number, since 2×106417² = 22649155778, which contains 22 as substring.

106417 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 106394 and 106403.

It is not a weakly prime, because it can be changed into another prime (106411) 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, 53208 + 53209.

It is an arithmetic number, because the mean of its divisors is an integer number (53209).

2¹⁰⁶⁴¹⁷ is an apocalyptic number.

It is an amenable number.

106417 is a deficient number, since it is larger than the sum of its proper divisors (1).

106417 is an equidigital number, since it uses as much as digits as its factorization.

106417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 106417 is about 326.2161859871. The cubic root of 106417 is about 47.3882135827.

It can be divided in two parts, 10641 and 7, that added together give a cube (10648 = 22³).

The spelling of 106417 in words is "one hundred six thousand, four hundred seventeen".