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105531169 is a prime number
BaseRepresentation
bin1100100101001…
…00011100100001
321100120112112211
412102210130201
5204003444134
614245522121
72421000022
oct622443441
9240515484
10105531169
115462a147
122b413341
1318b2c2a3
1410030c49
1593e8764
hex64a4721

105531169 has 2 divisors, whose sum is σ = 105531170. Its totient is φ = 105531168.

The previous prime is 105531143. The next prime is 105531197. The reversal of 105531169 is 961135501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92390544 + 13140625 = 9612^2 + 3625^2 .

It is a cyclic number.

It is not a de Polignac number, because 105531169 - 25 = 105531137 is a prime.

It is a super-3 number, since 3×1055311693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105531169.

It is not a weakly prime, because it can be changed into another prime (105531119) 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, 52765584 + 52765585.

It is an arithmetic number, because the mean of its divisors is an integer number (52765585).

Almost surely, 2105531169 is an apocalyptic number.

It is an amenable number.

105531169 is a deficient number, since it is larger than the sum of its proper divisors (1).

105531169 is an equidigital number, since it uses as much as digits as its factorization.

105531169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 105531169 is about 10272.8364632170. The cubic root of 105531169 is about 472.5635818621.

The spelling of 105531169 in words is "one hundred five million, five hundred thirty-one thousand, one hundred sixty-nine".