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105342314 = 27111374993
BaseRepresentation
bin1100100011101…
…10010101101010
321100012221111012
412101312111222
5203431423224
614241503522
72416252310
oct621662552
9240187435
10105342314
1154510270
122b341ba2
1318a9433c
14ddc20b0
1593ac80e
hex647656a

105342314 has 32 divisors (see below), whose sum is σ = 198481536. Its totient is φ = 40734720.

The previous prime is 105342271. The next prime is 105342331. The reversal of 105342314 is 413243501.

It is a super-2 number, since 2×1053423142 = 22194006237749192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105342314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18602 + ... + 23594.

It is an arithmetic number, because the mean of its divisors is an integer number (6202548).

Almost surely, 2105342314 is an apocalyptic number.

105342314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105342314 is a deficient number, since it is larger than the sum of its proper divisors (93139222).

105342314 is a wasteful number, since it uses less digits than its factorization.

105342314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 105342314 is about 10263.6403873090. The cubic root of 105342314 is about 472.2815189534.

Adding to 105342314 its reverse (413243501), we get a palindrome (518585815).

The spelling of 105342314 in words is "one hundred five million, three hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 7 11 14 22 77 137 154 274 959 1507 1918 3014 4993 9986 10549 21098 34951 54923 69902 109846 384461 684041 768922 1368082 4788287 7524451 9576574 15048902 52671157 105342314