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105018127 is a prime number
BaseRepresentation
bin1100100001001…
…11001100001111
321022121110210021
412100213030033
5203341040002
614230523011
72413432204
oct620471417
9238543707
10105018127
1154309745
122b206467
13189ac906
14dd39cab
159346737
hex642730f

105018127 has 2 divisors, whose sum is σ = 105018128. Its totient is φ = 105018126.

The previous prime is 105018113. The next prime is 105018203. The reversal of 105018127 is 721810501.

It is a weak prime.

It is an emirp because it is prime and its reverse (721810501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105018127 - 27 = 105017999 is a prime.

It is a super-2 number, since 2×1050181272 = 22057613997176258, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105018227) 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, 52509063 + 52509064.

It is an arithmetic number, because the mean of its divisors is an integer number (52509064).

Almost surely, 2105018127 is an apocalyptic number.

105018127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105018127 is an equidigital number, since it uses as much as digits as its factorization.

105018127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 105018127 is about 10247.8352348191. The cubic root of 105018127 is about 471.7965449263.

Adding to 105018127 its reverse (721810501), we get a palindrome (826828628).

The spelling of 105018127 in words is "one hundred five million, eighteen thousand, one hundred twenty-seven".