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105344 = 27823
BaseRepresentation
bin11001101110000000
312100111122
4121232000
511332334
62131412
7616061
oct315600
9170448
10105344
1172168
1250b68
1338c45
142a568
152132e
hex19b80

105344 has 16 divisors (see below), whose sum is σ = 210120. Its totient is φ = 52608.

The previous prime is 105341. The next prime is 105359. The reversal of 105344 is 443501.

Adding to 105344 its reverse (443501), we get a palindrome (548845).

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1053442 = 22194716672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341) 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 as a sum of consecutive naturals, namely, 284 + ... + 539.

2105344 is an apocalyptic number.

It is an amenable number.

105344 is a deficient number, since it is larger than the sum of its proper divisors (104776).

105344 is an frugal number, since it uses more digits than its factorization.

105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 105344 is about 324.5674044016. The cubic root of 105344 is about 47.2284038556.

The spelling of 105344 in words is "one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 823 1646 3292 6584 13168 26336 52672 105344