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106395 = 3541173
BaseRepresentation
bin11001111110011011
312101221120
4121332123
511401040
62140323
7622122
oct317633
9171846
10106395
1172a33
12516a3
1339573
142aab9
15217d0
hex19f9b

106395 has 16 divisors (see below), whose sum is σ = 175392. Its totient is φ = 55040.

The previous prime is 106391. The next prime is 106397. The reversal of 106395 is 593601.

It is not a de Polignac number, because 106395 - 22 = 106391 is a prime.

It is a super-2 number, since 2×1063952 = 22639792050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) 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 (106391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (10962).

2106395 is an apocalyptic number.

106395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106395 is a deficient number, since it is larger than the sum of its proper divisors (68997).

106395 is a wasteful number, since it uses less digits than its factorization.

106395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 106395 is about 326.1824642742. The cubic root of 106395 is about 47.3849477745.

Adding to 106395 its reverse (593601), we get a palindrome (699996).

The spelling of 106395 in words is "one hundred six thousand, three hundred ninety-five".

Divisors: 1 3 5 15 41 123 173 205 519 615 865 2595 7093 21279 35465 106395