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105669257 is a prime number
BaseRepresentation
bin1100100110001…
…10001010001001
321100211112222012
412103012022021
5204022404012
614252505305
72422113431
oct623061211
9240745865
10105669257
1154713971
122b47b235
1318b7a0b5
14100692c1
159424622
hex64c6289

105669257 has 2 divisors, whose sum is σ = 105669258. Its totient is φ = 105669256.

The previous prime is 105669253. The next prime is 105669283. The reversal of 105669257 is 752966501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103144336 + 2524921 = 10156^2 + 1589^2 .

It is a cyclic number.

It is not a de Polignac number, because 105669257 - 22 = 105669253 is a prime.

It is a super-2 number, since 2×1056692572 = 22331983749864098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105669253) 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, 52834628 + 52834629.

It is an arithmetic number, because the mean of its divisors is an integer number (52834629).

Almost surely, 2105669257 is an apocalyptic number.

It is an amenable number.

105669257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105669257 is an equidigital number, since it uses as much as digits as its factorization.

105669257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 105669257 is about 10279.5552919375. Note that the first 3 decimals coincide. The cubic root of 105669257 is about 472.7696092025.

The spelling of 105669257 in words is "one hundred five million, six hundred sixty-nine thousand, two hundred fifty-seven".