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106335 = 32517139
BaseRepresentation
bin11001111101011111
312101212100
4121331133
511400320
62140143
7622005
oct317537
9171770
10106335
1172989
1251653
1339528
142aa75
1521790
hex19f5f

106335 has 24 divisors (see below), whose sum is σ = 196560. Its totient is φ = 52992.

The previous prime is 106331. The next prime is 106349. The reversal of 106335 is 533601.

It is not a de Polignac number, because 106335 - 22 = 106331 is a prime.

It is a super-2 number, since 2×1063352 = 22614264450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2106335 is an apocalyptic number.

106335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106335 is a deficient number, since it is larger than the sum of its proper divisors (90225).

106335 is a wasteful number, since it uses less digits than its factorization.

106335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 106335 is about 326.0904782419. The cubic root of 106335 is about 47.3760387359.

Adding to 106335 its reverse (533601), we get a palindrome (639936).

It can be divided in two parts, 106 and 335, that added together give a square (441 = 212).

The spelling of 106335 in words is "one hundred six thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 139 153 255 417 695 765 1251 2085 2363 6255 7089 11815 21267 35445 106335