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106277309 is a prime number
BaseRepresentation
bin1100101010110…
…10100110111101
321101222110001122
412111122212331
5204201333214
614313520325
72430225245
oct625324675
9241873048
10106277309
1154a99796
122b7130a5
1319030aa8
1410186b25
1594e488e
hex655a9bd

106277309 has 2 divisors, whose sum is σ = 106277310. Its totient is φ = 106277308.

The previous prime is 106277263. The next prime is 106277321. The reversal of 106277309 is 903772601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91145209 + 15132100 = 9547^2 + 3890^2 .

It is a cyclic number.

It is not a de Polignac number, because 106277309 - 216 = 106211773 is a prime.

It is a super-2 number, since 2×1062773092 = 22589732816562962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106277329) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53138654 + 53138655.

It is an arithmetic number, because the mean of its divisors is an integer number (53138655).

Almost surely, 2106277309 is an apocalyptic number.

It is an amenable number.

106277309 is a deficient number, since it is larger than the sum of its proper divisors (1).

106277309 is an equidigital number, since it uses as much as digits as its factorization.

106277309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 106277309 is about 10309.0886600126. The cubic root of 106277309 is about 473.6746938593.

The spelling of 106277309 in words is "one hundred six million, two hundred seventy-seven thousand, three hundred nine".