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106544309 is a prime number
BaseRepresentation
bin1100101100110…
…11110010110101
321102111000022112
412112123302311
5204233404214
614323340405
72432416544
oct626336265
9242430275
10106544309
1155161353
122b821705
13190c5491
141021615b
159548a3e
hex659bcb5

106544309 has 2 divisors, whose sum is σ = 106544310. Its totient is φ = 106544308.

The previous prime is 106544293. The next prime is 106544323. The reversal of 106544309 is 903445601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106543684 + 625 = 10322^2 + 25^2 .

It is an emirp because it is prime and its reverse (903445601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106544309 - 24 = 106544293 is a prime.

It is a super-2 number, since 2×1065443092 = 22703379560574962, 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 (106544329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53272154 + 53272155.

It is an arithmetic number, because the mean of its divisors is an integer number (53272155).

Almost surely, 2106544309 is an apocalyptic number.

It is an amenable number.

106544309 is a deficient number, since it is larger than the sum of its proper divisors (1).

106544309 is an equidigital number, since it uses as much as digits as its factorization.

106544309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 106544309 is about 10322.0302750961. The cubic root of 106544309 is about 474.0710323975.

The spelling of 106544309 in words is "one hundred six million, five hundred forty-four thousand, three hundred nine".