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106271381 is a prime number
BaseRepresentation
bin1100101010110…
…01001010010101
321101222010221002
412111121022111
5204201141011
614313433045
72430202046
oct625311225
9241863832
10106271381
1154a95297
122b70b785
131902b198
14101848cd
1594e2c3b
hex6559295

106271381 has 2 divisors, whose sum is σ = 106271382. Its totient is φ = 106271380.

The previous prime is 106271359. The next prime is 106271387. The reversal of 106271381 is 183172601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92948881 + 13322500 = 9641^2 + 3650^2 .

It is an emirp because it is prime and its reverse (183172601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106271381 - 218 = 106009237 is a prime.

It is a super-2 number, since 2×1062713812 = 22587212839294322, 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 (106271387) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53135690 + 53135691.

It is an arithmetic number, because the mean of its divisors is an integer number (53135691).

Almost surely, 2106271381 is an apocalyptic number.

It is an amenable number.

106271381 is a deficient number, since it is larger than the sum of its proper divisors (1).

106271381 is an equidigital number, since it uses as much as digits as its factorization.

106271381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 106271381 is about 10308.8011427130. The cubic root of 106271381 is about 473.6658867244.

The spelling of 106271381 in words is "one hundred six million, two hundred seventy-one thousand, three hundred eighty-one".