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107585 = 521517
BaseRepresentation
bin11010010001000001
312110120122
4122101001
511420320
62150025
7625442
oct322101
9173518
10107585
1173915
1252315
1339c7a
142b2c9
1521d25
hex1a441

107585 has 4 divisors (see below), whose sum is σ = 129108. Its totient is φ = 86064.

The previous prime is 107581. The next prime is 107599. The reversal of 107585 is 585701.

It is a Cunningham number, because it is equal to 3282+1.

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 38416 + 69169 = 196^2 + 263^2 .

It is a cyclic number.

It is not a de Polignac number, because 107585 - 22 = 107581 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107585.

It is not an unprimeable number, because it can be changed into a prime (107581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10754 + ... + 10763.

It is an arithmetic number, because the mean of its divisors is an integer number (32277).

2107585 is an apocalyptic number.

It is an amenable number.

107585 is a deficient number, since it is larger than the sum of its proper divisors (21523).

107585 is an equidigital number, since it uses as much as digits as its factorization.

107585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21522.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 107585 is about 328.0015243867. The cubic root of 107585 is about 47.5609559073.

The spelling of 107585 in words is "one hundred seven thousand, five hundred eighty-five".

Divisors: 1 5 21517 107585