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105345 = 3252341
BaseRepresentation
bin11001101110000001
312100111200
4121232001
511332340
62131413
7616062
oct315601
9170450
10105345
1172169
1250b69
1338c46
142a569
1521330
hex19b81

105345 has 12 divisors (see below), whose sum is σ = 182676. Its totient is φ = 56160.

The previous prime is 105341. The next prime is 105359. The reversal of 105345 is 543501.

Adding to 105345 its reverse (543501), we get a palindrome (648846).

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 51984 = 231^2 + 228^2 .

It is not a de Polignac number, because 105345 - 22 = 105341 is a prime.

It is a super-2 number, since 2×1053452 = 22195138050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (15223).

2105345 is an apocalyptic number.

105345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105345 is a deficient number, since it is larger than the sum of its proper divisors (77331).

105345 is a wasteful number, since it uses less digits than its factorization.

105345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105345 is about 324.5689449100. The cubic root of 105345 is about 47.2285532970.

The spelling of 105345 in words is "one hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 2341 7023 11705 21069 35115 105345