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105286691 is a prime number
BaseRepresentation
bin1100100011010…
…00110000100011
321100010010012002
412101220300203
5203423133231
614240354215
72415631166
oct621506043
9240103162
10105286691
11544824a4
122b31596b
1318a74c23
14dda9add
15939b0cb
hex6468c23

105286691 has 2 divisors, whose sum is σ = 105286692. Its totient is φ = 105286690.

The previous prime is 105286651. The next prime is 105286693. The reversal of 105286691 is 196682501.

105286691 is nontrivially palindromic in base 14.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105286691 is a prime.

It is a super-2 number, since 2×1052866912 = 22170574603458962, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105286693, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105286693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52643345 + 52643346.

It is an arithmetic number, because the mean of its divisors is an integer number (52643346).

Almost surely, 2105286691 is an apocalyptic number.

105286691 is a deficient number, since it is larger than the sum of its proper divisors (1).

105286691 is an equidigital number, since it uses as much as digits as its factorization.

105286691 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 105286691 is about 10260.9303184458. The cubic root of 105286691 is about 472.1983793965.

The spelling of 105286691 in words is "one hundred five million, two hundred eighty-six thousand, six hundred ninety-one".