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105344343 = 32134719157
BaseRepresentation
bin1100100011101…
…10110101010111
321100020001021100
412101312311113
5203432004333
614241521143
72416261236
oct621666527
9240201240
10105344343
1154511845
122b3431b3
1318a95240
14ddc2b1d
1593ad213
hex6476d57

105344343 has 24 divisors (see below), whose sum is σ = 167364288. Its totient is φ = 63444672.

The previous prime is 105344339. The next prime is 105344357. The reversal of 105344343 is 343443501.

It is not a de Polignac number, because 105344343 - 22 = 105344339 is a prime.

It is a super-2 number, since 2×1053443432 = 22194861204203298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4080 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (6973512).

Almost surely, 2105344343 is an apocalyptic number.

105344343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105344343 is a deficient number, since it is larger than the sum of its proper divisors (62019945).

105344343 is a wasteful number, since it uses less digits than its factorization.

105344343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19223 (or 19220 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 105344343 is about 10263.7392309041. The cubic root of 105344343 is about 472.2845511413.

Adding to 105344343 its reverse (343443501), we get a palindrome (448787844).

The spelling of 105344343 in words is "one hundred five million, three hundred forty-four thousand, three hundred forty-three".

Divisors: 1 3 9 13 39 47 117 141 423 611 1833 5499 19157 57471 172413 249041 747123 900379 2241369 2701137 8103411 11704927 35114781 105344343