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106318 = 2175359
BaseRepresentation
bin11001111101001110
312101211201
4121331032
511400233
62140114
7621652
oct317516
9171751
10106318
1172973
125163a
1339514
142aa62
152177d
hex19f4e

106318 has 16 divisors (see below), whose sum is σ = 174960. Its totient is φ = 48256.

The previous prime is 106307. The next prime is 106319. The reversal of 106318 is 813601.

It is a super-2 number, since 2×1063182 = 22607034248, which contains 22 as substring.

106318 is a modest number, since divided by 318 gives 106 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 106295 and 106304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106319) 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, 1773 + ... + 1831.

It is an arithmetic number, because the mean of its divisors is an integer number (10935).

2106318 is an apocalyptic number.

106318 is a deficient number, since it is larger than the sum of its proper divisors (68642).

106318 is a wasteful number, since it uses less digits than its factorization.

106318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 106318 is about 326.0644108148. The cubic root of 106318 is about 47.3735138990.

Adding to 106318 its reverse (813601), we get a palindrome (919919).

It can be divided in two parts, 1063 and 18, that added together give a triangular number (1081 = T46).

The spelling of 106318 in words is "one hundred six thousand, three hundred eighteen".

Divisors: 1 2 17 34 53 59 106 118 901 1003 1802 2006 3127 6254 53159 106318