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106375 = 532337
BaseRepresentation
bin11001111110000111
312101220211
4121332013
511401000
62140251
7622063
oct317607
9171824
10106375
1172a15
1251687
1339559
142aaa3
15217ba
hex19f87

106375 has 16 divisors (see below), whose sum is σ = 142272. Its totient is φ = 79200.

The previous prime is 106373. The next prime is 106391. The reversal of 106375 is 573601.

Adding to 106375 its reverse (573601), we get a palindrome (679976).

It is not a de Polignac number, because 106375 - 21 = 106373 is a prime.

It is a super-2 number, since 2×1063752 = 22631281250, which contains 22 as substring.

It is a Duffinian number.

106375 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106373) 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 15 ways as a sum of consecutive naturals, for example, 2857 + ... + 2893.

It is an arithmetic number, because the mean of its divisors is an integer number (8892).

2106375 is an apocalyptic number.

106375 is a deficient number, since it is larger than the sum of its proper divisors (35897).

106375 is an equidigital number, since it uses as much as digits as its factorization.

106375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 106375 is about 326.1518051460. The cubic root of 106375 is about 47.3819784672.

The spelling of 106375 in words is "one hundred six thousand, three hundred seventy-five".

Divisors: 1 5 23 25 37 115 125 185 575 851 925 2875 4255 4625 21275 106375