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106614589 is a prime number
BaseRepresentation
bin1100101101011…
…00111100111101
321102121120201111
412112230330331
5204243131324
614325042021
72433131464
oct626547475
9242546644
10106614589
11551aa134
122b856311
131911b473
14102339db
15955e794
hex65acf3d

106614589 has 2 divisors, whose sum is σ = 106614590. Its totient is φ = 106614588.

The previous prime is 106614583. The next prime is 106614689. The reversal of 106614589 is 985416601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57123364 + 49491225 = 7558^2 + 7035^2 .

It is a cyclic number.

It is not a de Polignac number, because 106614589 - 219 = 106090301 is a prime.

It is a super-2 number, since 2×1066145892 = 22733341175277842, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106614583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53307294 + 53307295.

It is an arithmetic number, because the mean of its divisors is an integer number (53307295).

Almost surely, 2106614589 is an apocalyptic number.

It is an amenable number.

106614589 is a deficient number, since it is larger than the sum of its proper divisors (1).

106614589 is an equidigital number, since it uses as much as digits as its factorization.

106614589 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 40.

The square root of 106614589 is about 10325.4340828848. The cubic root of 106614589 is about 474.1752469080.

The spelling of 106614589 in words is "one hundred six million, six hundred fourteen thousand, five hundred eighty-nine".