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105343 = 7101149
BaseRepresentation
bin11001101101111111
312100111121
4121231333
511332333
62131411
7616060
oct315577
9170447
10105343
1172167
1250b67
1338c44
142a567
152132d
hex19b7f

105343 has 8 divisors (see below), whose sum is σ = 122400. Its totient is φ = 88800.

The previous prime is 105341. The next prime is 105359. The reversal of 105343 is 343501.

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 105343 - 21 = 105341 is a prime.

It is a super-2 number, since 2×1053432 = 22194295298, which contains 22 as substring.

It is a Duffinian number.

105343 is a lucky number.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633 + ... + 781.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2105343 is an apocalyptic number.

105343 is a deficient number, since it is larger than the sum of its proper divisors (17057).

105343 is a wasteful number, since it uses less digits than its factorization.

105343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 105343 is about 324.5658638859. The cubic root of 105343 is about 47.2282544133.

Adding to 105343 its reverse (343501), we get a palindrome (448844).

The spelling of 105343 in words is "one hundred five thousand, three hundred forty-three".

Divisors: 1 7 101 149 707 1043 15049 105343