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13106105 = 519253137
BaseRepresentation
bin110001111111…
…101110111001
3220122212012022
4301333232321
511323343410
61144524225
7216254135
oct61775671
926585168
1013106105
1174418a1
124480675
13293b5bc
141a523c5
15123d455
hexc7fbb9

13106105 has 24 divisors (see below), whose sum is σ = 17035272. Its totient is φ = 9674496.

The previous prime is 13106059. The next prime is 13106111. The reversal of 13106105 is 50160131.

It can be written as a sum of positive squares in 4 ways, for example, as 2795584 + 10310521 = 1672^2 + 3211^2 .

It is not a de Polignac number, because 13106105 - 212 = 13102009 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 95597 + ... + 95733.

It is an arithmetic number, because the mean of its divisors is an integer number (709803).

Almost surely, 213106105 is an apocalyptic number.

It is an amenable number.

13106105 is a deficient number, since it is larger than the sum of its proper divisors (3929167).

13106105 is a wasteful number, since it uses less digits than its factorization.

13106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 13106105 is about 3620.2354895780. The cubic root of 13106105 is about 235.7714499513.

Adding to 13106105 its reverse (50160131), we get a palindrome (63266236).

The spelling of 13106105 in words is "thirteen million, one hundred six thousand, one hundred five".

Divisors: 1 5 19 53 95 137 265 361 685 1007 1805 2603 5035 7261 13015 19133 36305 49457 95665 137959 247285 689795 2621221 13106105