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106185839 is a prime number
BaseRepresentation
bin1100101010001…
…00010001101111
321101210210120212
412111010101233
5204140421324
614311533035
72426364464
oct625042157
9241723525
10106185839
1154a36aa1
122b68a17b
1318ccb276
141016166b
1594c770e
hex654446f

106185839 has 2 divisors, whose sum is σ = 106185840. Its totient is φ = 106185838.

The previous prime is 106185829. The next prime is 106185841. The reversal of 106185839 is 938581601.

It is a strong prime.

It is an emirp because it is prime and its reverse (938581601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106185839 - 212 = 106181743 is a prime.

It is a super-2 number, since 2×1061858392 = 22550864808267842, which contains 22 as substring.

Together with 106185841, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106185796 and 106185805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106185829) 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, 53092919 + 53092920.

It is an arithmetic number, because the mean of its divisors is an integer number (53092920).

Almost surely, 2106185839 is an apocalyptic number.

106185839 is a deficient number, since it is larger than the sum of its proper divisors (1).

106185839 is an equidigital number, since it uses as much as digits as its factorization.

106185839 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 106185839 is about 10304.6513284051. The cubic root of 106185839 is about 473.5387618630.

The spelling of 106185839 in words is "one hundred six million, one hundred eighty-five thousand, eight hundred thirty-nine".