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106486472137 is a prime number
BaseRepresentation
bin110001100101100010…
…1101001110111001001
3101011212020002021020111
41203023011221313021
53221041014102022
6120530314354321
710456556035663
oct1431305516711
9334766067214
10106486472137
1141184923681
121877a12b9a1
13a070605036
145222703533
152b83917477
hex18cb169dc9

106486472137 has 2 divisors, whose sum is σ = 106486472138. Its totient is φ = 106486472136.

The previous prime is 106486472111. The next prime is 106486472149. The reversal of 106486472137 is 731274684601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100323594121 + 6162878016 = 316739^2 + 78504^2 .

It is a cyclic number.

It is not a de Polignac number, because 106486472137 - 215 = 106486439369 is a prime.

It is a super-2 number, since 2×1064864721372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106486472537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53243236068 + 53243236069.

It is an arithmetic number, because the mean of its divisors is an integer number (53243236069).

Almost surely, 2106486472137 is an apocalyptic number.

It is an amenable number.

106486472137 is a deficient number, since it is larger than the sum of its proper divisors (1).

106486472137 is an equidigital number, since it uses as much as digits as its factorization.

106486472137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 106486472137 in words is "one hundred six billion, four hundred eighty-six million, four hundred seventy-two thousand, one hundred thirty-seven".