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105201343 = 1353179853
BaseRepresentation
bin1100100010100…
…11111010111111
321022221210010001
412101103322333
5203412420333
614234455131
72415124312
oct621237277
9238853101
10105201343
1154424365
122b2944a7
1318a45120
14dd86979
159380b7d
hex6453ebf

105201343 has 16 divisors (see below), whose sum is σ = 116212320. Its totient is φ = 94633344.

The previous prime is 105201337. The next prime is 105201353. The reversal of 105201343 is 343102501.

It is not a de Polignac number, because 105201343 - 25 = 105201311 is a prime.

It is a super-2 number, since 2×1052013432 = 22134645138007298, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105201343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122905 + ... + 123757.

It is an arithmetic number, because the mean of its divisors is an integer number (7263270).

Almost surely, 2105201343 is an apocalyptic number.

105201343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105201343 is a deficient number, since it is larger than the sum of its proper divisors (11010977).

105201343 is a wasteful number, since it uses less digits than its factorization.

105201343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105201343 is about 10256.7705931253. The cubic root of 105201343 is about 472.0707530032.

Adding to 105201343 its reverse (343102501), we get a palindrome (448303844).

The spelling of 105201343 in words is "one hundred five million, two hundred one thousand, three hundred forty-three".

Divisors: 1 13 53 179 689 853 2327 9487 11089 45209 123331 152687 587717 1984931 8092411 105201343