Search a number
-
+
106017 = 335339
BaseRepresentation
bin11001111000100001
312101102120
4121320201
511343032
62134453
7621042
oct317041
9171376
10106017
117271a
1251429
1339342
142a8c9
152162c
hex19e21

106017 has 4 divisors (see below), whose sum is σ = 141360. Its totient is φ = 70676.

The previous prime is 106013. The next prime is 106019. The reversal of 106017 is 710601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 710601 = 3236867.

It is a cyclic number.

It is not a de Polignac number, because 106017 - 22 = 106013 is a prime.

It is a super-2 number, since 2×1060172 = 22479208578, which contains 22 as substring.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 105987 and 106005.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106017.

It is not an unprimeable number, because it can be changed into a prime (106013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17667 + ... + 17672.

It is an arithmetic number, because the mean of its divisors is an integer number (35340).

2106017 is an apocalyptic number.

It is an amenable number.

106017 is a deficient number, since it is larger than the sum of its proper divisors (35343).

106017 is an equidigital number, since it uses as much as digits as its factorization.

106017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35342.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 106017 is about 325.6025184178. The cubic root of 106017 is about 47.3287647952.

Adding to 106017 its reverse (710601), we get a palindrome (816618).

The spelling of 106017 in words is "one hundred six thousand, seventeen".

Divisors: 1 3 35339 106017