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105868917 = 3371150923
BaseRepresentation
bin1100100111101…
…10111001110101
321101012200212000
412103312321311
5204100301132
614301045513
72423604510
oct623667165
9241180760
10105868917
115483a980
122b556899
1318c19c3b
14100bbd77
15946387c
hex64f6e75

105868917 has 32 divisors (see below), whose sum is σ = 195548160. Its totient is φ = 54995760.

The previous prime is 105868913. The next prime is 105868921. The reversal of 105868917 is 719868501.

It is an interprime number because it is at equal distance from previous prime (105868913) and next prime (105868921).

It is not a de Polignac number, because 105868917 - 22 = 105868913 is a prime.

It is a super-2 number, since 2×1058689172 = 22416455173505778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105868913) 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 31 ways as a sum of consecutive naturals, for example, 23383 + ... + 27540.

It is an arithmetic number, because the mean of its divisors is an integer number (6110880).

Almost surely, 2105868917 is an apocalyptic number.

It is an amenable number.

105868917 is a deficient number, since it is larger than the sum of its proper divisors (89679243).

105868917 is a wasteful number, since it uses less digits than its factorization.

105868917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50950 (or 50944 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 105868917 is about 10289.2622184489. The cubic root of 105868917 is about 473.0671848451.

It can be divided in two parts, 10586 and 8917, that added together give a triangular number (19503 = T197).

The spelling of 105868917 in words is "one hundred five million, eight hundred sixty-eight thousand, nine hundred seventeen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 50923 152769 356461 458307 560153 1069383 1374921 1680459 3208149 3921071 5041377 9624447 11763213 15124131 35289639 105868917