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106165 = 5171249
BaseRepresentation
bin11001111010110101
312101122001
4121322311
511344130
62135301
7621343
oct317265
9171561
10106165
1172844
1251531
1339427
142a993
15216ca
hex19eb5

106165 has 8 divisors (see below), whose sum is σ = 135000. Its totient is φ = 79872.

The previous prime is 106163. The next prime is 106181. The reversal of 106165 is 561601.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 88209 = 134^2 + 297^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106165 - 21 = 106163 is a prime.

It is a super-2 number, since 2×1061652 = 22542014450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106163) 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 in 7 ways as a sum of consecutive naturals, for example, 540 + ... + 709.

It is an arithmetic number, because the mean of its divisors is an integer number (16875).

2106165 is an apocalyptic number.

It is an amenable number.

106165 is a deficient number, since it is larger than the sum of its proper divisors (28835).

106165 is a wasteful number, since it uses less digits than its factorization.

106165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 106165 is about 325.8297101248. The cubic root of 106165 is about 47.3507782466.

Adding to 106165 its reverse (561601), we get a palindrome (667766).

The spelling of 106165 in words is "one hundred six thousand, one hundred sixty-five".

Divisors: 1 5 17 85 1249 6245 21233 106165