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107329 = 293701
BaseRepresentation
bin11010001101000001
312110020011
4122031001
511413304
62144521
7624625
oct321501
9173204
10107329
1173702
1252141
1339b11
142b185
1521c04
hex1a341

107329 has 4 divisors (see below), whose sum is σ = 111060. Its totient is φ = 103600.

The previous prime is 107323. The next prime is 107339. The reversal of 107329 is 923701.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 49729 + 57600 = 223^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 107329 - 27 = 107201 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1822 + ... + 1879.

It is an arithmetic number, because the mean of its divisors is an integer number (27765).

107329 is a Friedman number, since it can be written as 3701*29, using all its digits and the basic arithmetic operations.

2107329 is an apocalyptic number.

It is an amenable number.

107329 is a deficient number, since it is larger than the sum of its proper divisors (3731).

107329 is an equidigital number, since it uses as much as digits as its factorization.

107329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 107329 is about 327.6110498747. The cubic root of 107329 is about 47.5232019613.

The spelling of 107329 in words is "one hundred seven thousand, three hundred twenty-nine".

Divisors: 1 29 3701 107329