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106532177 is a prime number
BaseRepresentation
bin1100101100110…
…00110101010001
321102110101200012
412112120311101
5204233012202
614323204305
72432336303
oct626306521
9242411605
10106532177
1155153224
122b816695
13190bcabb
1410211973
159545152
hex6598d51

106532177 has 2 divisors, whose sum is σ = 106532178. Its totient is φ = 106532176.

The previous prime is 106532147. The next prime is 106532201. The reversal of 106532177 is 771235601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63616576 + 42915601 = 7976^2 + 6551^2 .

It is a cyclic number.

It is not a de Polignac number, because 106532177 - 214 = 106515793 is a prime.

It is a super-2 number, since 2×1065321772 = 22698209472718658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106532137) 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, 53266088 + 53266089.

It is an arithmetic number, because the mean of its divisors is an integer number (53266089).

Almost surely, 2106532177 is an apocalyptic number.

It is an amenable number.

106532177 is a deficient number, since it is larger than the sum of its proper divisors (1).

106532177 is an equidigital number, since it uses as much as digits as its factorization.

106532177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 106532177 is about 10321.4425832826. The cubic root of 106532177 is about 474.0530378556.

Adding to 106532177 its reverse (771235601), we get a palindrome (877767778).

The spelling of 106532177 in words is "one hundred six million, five hundred thirty-two thousand, one hundred seventy-seven".