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106132361 is a prime number
BaseRepresentation
bin1100101001101…
…11001110001001
321101201002020012
412110313032021
5204132213421
614310441305
72426052536
oct624671611
9241632205
10106132361
11549aa8a5
122b663235
1318cacb1a
1410149d8d
1594b695b
hex6537389

106132361 has 2 divisors, whose sum is σ = 106132362. Its totient is φ = 106132360.

The previous prime is 106132357. The next prime is 106132381. The reversal of 106132361 is 163231601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98624761 + 7507600 = 9931^2 + 2740^2 .

It is a cyclic number.

It is not a de Polignac number, because 106132361 - 22 = 106132357 is a prime.

It is a super-2 number, since 2×1061323612 = 22528156102868642, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106132331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53066180 + 53066181.

It is an arithmetic number, because the mean of its divisors is an integer number (53066181).

Almost surely, 2106132361 is an apocalyptic number.

It is an amenable number.

106132361 is a deficient number, since it is larger than the sum of its proper divisors (1).

106132361 is an equidigital number, since it uses as much as digits as its factorization.

106132361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 106132361 is about 10302.0561539918. The cubic root of 106132361 is about 473.4592529611.

Adding to 106132361 its reverse (163231601), we get a palindrome (269363962).

The spelling of 106132361 in words is "one hundred six million, one hundred thirty-two thousand, three hundred sixty-one".