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106506601 is a prime number
BaseRepresentation
bin1100101100100…
…10100101101001
321102102002120221
412112102211221
5204231202401
614322450041
72432201605
oct626224551
9242362527
10106506601
1155135a93
122b803921
13190b1276
1410206505
15953c7a1
hex6592969

106506601 has 2 divisors, whose sum is σ = 106506602. Its totient is φ = 106506600.

The previous prime is 106506599. The next prime is 106506613. The reversal of 106506601 is 106605601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65853225 + 40653376 = 8115^2 + 6376^2 .

It is a cyclic number.

It is not a de Polignac number, because 106506601 - 21 = 106506599 is a prime.

It is a super-2 number, since 2×1065066012 = 22687312113146402, which contains 22 as substring.

Together with 106506599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106506641) 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, 53253300 + 53253301.

It is an arithmetic number, because the mean of its divisors is an integer number (53253301).

Almost surely, 2106506601 is an apocalyptic number.

It is an amenable number.

106506601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106506601 is an equidigital number, since it uses as much as digits as its factorization.

106506601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 106506601 is about 10320.2035348146. The cubic root of 106506601 is about 474.0150982983.

The spelling of 106506601 in words is "one hundred six million, five hundred six thousand, six hundred one".