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105431533 is a prime number
BaseRepresentation
bin1100100100011…
…00000111101101
321100101110212121
412102030013231
5203442302113
614243432541
72420103364
oct622140755
9240343777
10105431533
11545712a9
122b385751
1318ac5b2c
14100067db
1593c8e8d
hex648c1ed

105431533 has 2 divisors, whose sum is σ = 105431534. Its totient is φ = 105431532.

The previous prime is 105431509. The next prime is 105431549. The reversal of 105431533 is 335134501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98446084 + 6985449 = 9922^2 + 2643^2 .

It is a cyclic number.

It is not a de Polignac number, because 105431533 - 29 = 105431021 is a prime.

It is a super-2 number, since 2×1054315332 = 22231616301460178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105431498 and 105431507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105431503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52715766 + 52715767.

It is an arithmetic number, because the mean of its divisors is an integer number (52715767).

Almost surely, 2105431533 is an apocalyptic number.

It is an amenable number.

105431533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105431533 is an equidigital number, since it uses as much as digits as its factorization.

105431533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 105431533 is about 10267.9858297526. The cubic root of 105431533 is about 472.4148132682.

The spelling of 105431533 in words is "one hundred five million, four hundred thirty-one thousand, five hundred thirty-three".