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106745753 is a prime number
BaseRepresentation
bin1100101110011…
…00111110011001
321102212020122102
412113030332121
5204311331003
614331533145
72434216052
oct627147631
9242766572
10106745753
1155289734
122b8ba1b5
131916608a
1410269729
159588588
hex65ccf99

106745753 has 2 divisors, whose sum is σ = 106745754. Its totient is φ = 106745752.

The previous prime is 106745747. The next prime is 106745861. The reversal of 106745753 is 357547601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58415449 + 48330304 = 7643^2 + 6952^2 .

It is a cyclic number.

It is not a de Polignac number, because 106745753 - 28 = 106745497 is a prime.

It is a super-3 number, since 3×1067457533 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106745453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53372876 + 53372877.

It is an arithmetic number, because the mean of its divisors is an integer number (53372877).

Almost surely, 2106745753 is an apocalyptic number.

It is an amenable number.

106745753 is a deficient number, since it is larger than the sum of its proper divisors (1).

106745753 is an equidigital number, since it uses as much as digits as its factorization.

106745753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 106745753 is about 10331.7836311065. The cubic root of 106745753 is about 474.3696206636.

The spelling of 106745753 in words is "one hundred six million, seven hundred forty-five thousand, seven hundred fifty-three".