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105258341 is a prime number
BaseRepresentation
bin1100100011000…
…01110101100101
321100001200022002
412101201311211
5203421231331
614240015045
72415452426
oct621416545
9240050262
10105258341
1154463171
122b301485
1318a65056
14dd9d64d
1593929cb
hex6461d65

105258341 has 2 divisors, whose sum is σ = 105258342. Its totient is φ = 105258340.

The previous prime is 105258337. The next prime is 105258353. The reversal of 105258341 is 143852501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89378116 + 15880225 = 9454^2 + 3985^2 .

It is a cyclic number.

It is not a de Polignac number, because 105258341 - 22 = 105258337 is a prime.

It is a super-2 number, since 2×1052583412 = 22158636700144562, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (195258341) 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, 52629170 + 52629171.

It is an arithmetic number, because the mean of its divisors is an integer number (52629171).

Almost surely, 2105258341 is an apocalyptic number.

It is an amenable number.

105258341 is a deficient number, since it is larger than the sum of its proper divisors (1).

105258341 is an equidigital number, since it uses as much as digits as its factorization.

105258341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 105258341 is about 10259.5487717540. The cubic root of 105258341 is about 472.1559934575.

The spelling of 105258341 in words is "one hundred five million, two hundred fifty-eight thousand, three hundred forty-one".