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106107 = 3113313
BaseRepresentation
bin11001111001111011
312101112220
4121321323
511343412
62135123
7621231
oct317173
9171486
10106107
11727a1
12514a3
13393b1
142a951
152168c
hex19e7b

106107 has 8 divisors (see below), whose sum is σ = 143184. Its totient is φ = 69888.

The previous prime is 106103. The next prime is 106109. The reversal of 106107 is 701601.

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

It is not a de Polignac number, because 106107 - 22 = 106103 is a prime.

It is a super-2 number, since 2×1061072 = 22517390898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (106103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (17898).

2106107 is an apocalyptic number.

106107 is a deficient number, since it is larger than the sum of its proper divisors (37077).

106107 is a wasteful number, since it uses less digits than its factorization.

106107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429.

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

The square root of 106107 is about 325.7406944181. The cubic root of 106107 is about 47.3421537928.

Adding to 106107 its reverse (701601), we get a palindrome (807708).

The spelling of 106107 in words is "one hundred six thousand, one hundred seven".

Divisors: 1 3 113 313 339 939 35369 106107