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106071 = 375051
BaseRepresentation
bin11001111001010111
312101111120
4121321113
511343241
62135023
7621150
oct317127
9171446
10106071
1172769
1251473
1339384
142a927
1521666
hex19e57

106071 has 8 divisors (see below), whose sum is σ = 161664. Its totient is φ = 60600.

The previous prime is 106033. The next prime is 106087. The reversal of 106071 is 170601.

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

It is not a de Polignac number, because 106071 - 27 = 105943 is a prime.

It is a super-2 number, since 2×1060712 = 22502114082, which contains 22 as substring.

106071 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 106071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106031) 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, 2505 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (20208).

2106071 is an apocalyptic number.

106071 is a deficient number, since it is larger than the sum of its proper divisors (55593).

106071 is an equidigital number, since it uses as much as digits as its factorization.

106071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061.

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

The square root of 106071 is about 325.6854310527. The cubic root of 106071 is about 47.3367991026.

Adding to 106071 its reverse (170601), we get a palindrome (276672).

The spelling of 106071 in words is "one hundred six thousand, seventy-one".

Divisors: 1 3 7 21 5051 15153 35357 106071