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106805 = 541521
BaseRepresentation
bin11010000100110101
312102111202
4122010311
511404210
62142245
7623246
oct320465
9172452
10106805
1173276
1251985
13397ca
142accd
15219a5
hex1a135

106805 has 8 divisors (see below), whose sum is σ = 131544. Its totient is φ = 83200.

The previous prime is 106801. The next prime is 106823. The reversal of 106805 is 508601.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 106276 = 23^2 + 326^2 .

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

It is not a de Polignac number, because 106805 - 22 = 106801 is a prime.

It is a super-2 number, since 2×1068052 = 22814616050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (16443).

2106805 is an apocalyptic number.

It is an amenable number.

106805 is a deficient number, since it is larger than the sum of its proper divisors (24739).

106805 is an equidigital number, since it uses as much as digits as its factorization.

106805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567.

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

The square root of 106805 is about 326.8103425536. The cubic root of 106805 is about 47.4457367414.

The spelling of 106805 in words is "one hundred six thousand, eight hundred five".

Divisors: 1 5 41 205 521 2605 21361 106805