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106316 = 2273797
BaseRepresentation
bin11001111101001100
312101211122
4121331030
511400231
62140112
7621650
oct317514
9171748
10106316
1172971
1251638
1339512
142aa60
152177b
hex19f4c

106316 has 12 divisors (see below), whose sum is σ = 212688. Its totient is φ = 45552.

The previous prime is 106307. The next prime is 106319. The reversal of 106316 is 613601.

106316 is an admirable number.

It is a super-2 number, since 2×1063162 = 22606183712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106294 and 106303.

It is not an unprimeable number, because it can be changed into a prime (106319) by changing a digit.

106316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1871 + ... + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (17724).

2106316 is an apocalyptic number.

It is an amenable number.

106316 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106316 is a wasteful number, since it uses less digits than its factorization.

106316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 106316 is about 326.0613439217. The cubic root of 106316 is about 47.3732168417.

Adding to 106316 its reverse (613601), we get a palindrome (719917).

The spelling of 106316 in words is "one hundred six thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 3797 7594 15188 26579 53158 106316