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86105 = 5171013
BaseRepresentation
bin10101000001011001
311101010002
4111001121
510223410
61502345
7506015
oct250131
9141102
1086105
1159768
12419b5
1330266
1423545
151a7a5
hex15059

86105 has 8 divisors (see below), whose sum is σ = 109512. Its totient is φ = 64768.

The previous prime is 86083. The next prime is 86111. The reversal of 86105 is 50168.

86105 = 632 + 642 + ... + 792.

It can be written as a sum of positive squares in 4 ways, for example, as 841 + 85264 = 29^2 + 292^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 86105 - 210 = 85081 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 422 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (13689).

286105 is an apocalyptic number.

86105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86105 is a deficient number, since it is larger than the sum of its proper divisors (23407).

86105 is a wasteful number, since it uses less digits than its factorization.

86105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 86105 is about 293.4365348759. The cubic root of 86105 is about 44.1580062921.

Subtracting from 86105 its reverse (50168), we obtain a cube (35937 = 333).

It can be divided in two parts, 86 and 105, that added together give a palindrome (191).

The spelling of 86105 in words is "eighty-six thousand, one hundred five".

Divisors: 1 5 17 85 1013 5065 17221 86105