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106132181 is a prime number
BaseRepresentation
bin1100101001101…
…11001011010101
321101201001222112
412110313023111
5204132212211
614310440405
72426052161
oct624671325
9241631875
10106132181
11549aa751
122b663105
1318caca0c
1410149ca1
1594b688b
hex65372d5

106132181 has 2 divisors, whose sum is σ = 106132182. Its totient is φ = 106132180.

The previous prime is 106132177. The next prime is 106132193. The reversal of 106132181 is 181231601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90060100 + 16072081 = 9490^2 + 4009^2 .

It is an emirp because it is prime and its reverse (181231601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106132181 - 22 = 106132177 is a prime.

It is a super-2 number, since 2×1061321812 = 22528079687633522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106132121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53066090 + 53066091.

It is an arithmetic number, because the mean of its divisors is an integer number (53066091).

Almost surely, 2106132181 is an apocalyptic number.

It is an amenable number.

106132181 is a deficient number, since it is larger than the sum of its proper divisors (1).

106132181 is an equidigital number, since it uses as much as digits as its factorization.

106132181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 106132181 is about 10302.0474178680. The cubic root of 106132181 is about 473.4589852994.

Adding to 106132181 its reverse (181231601), we get a palindrome (287363782).

The spelling of 106132181 in words is "one hundred six million, one hundred thirty-two thousand, one hundred eighty-one".