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106709261 is a prime number
BaseRepresentation
bin1100101110001…
…00000100001101
321102210101120212
412113010010031
5204304144021
614331052205
72434004501
oct627040415
9242711525
10106709261
115526427a
122b8a1065
1319152599
141025a301
15957c85b
hex65c410d

106709261 has 2 divisors, whose sum is σ = 106709262. Its totient is φ = 106709260.

The previous prime is 106709249. The next prime is 106709269. The reversal of 106709261 is 162907601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106708900 + 361 = 10330^2 + 19^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106709261 is a prime.

It is a super-2 number, since 2×1067092612 = 22773732766332242, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106709269) 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, 53354630 + 53354631.

It is an arithmetic number, because the mean of its divisors is an integer number (53354631).

Almost surely, 2106709261 is an apocalyptic number.

It is an amenable number.

106709261 is a deficient number, since it is larger than the sum of its proper divisors (1).

106709261 is an equidigital number, since it uses as much as digits as its factorization.

106709261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 106709261 is about 10330.0174733637. The cubic root of 106709261 is about 474.3155586559.

The spelling of 106709261 in words is "one hundred six million, seven hundred nine thousand, two hundred sixty-one".