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106791577 is a prime number
BaseRepresentation
bin1100101110110…
…00001010011001
321102221120111121
412113120022121
5204314312302
614332525241
72434466464
oct627301231
9242846447
10106791577
1155310102
122b920821
1319180ba9
141027c2db
159596e37
hex65d8299

106791577 has 2 divisors, whose sum is σ = 106791578. Its totient is φ = 106791576.

The previous prime is 106791539. The next prime is 106791673. The reversal of 106791577 is 775197601.

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., 78659161 + 28132416 = 8869^2 + 5304^2 .

It is an emirp because it is prime and its reverse (775197601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106791577 is a prime.

It is a super-2 number, since 2×1067915772 = 22808881836293858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106791877) 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, 53395788 + 53395789.

It is an arithmetic number, because the mean of its divisors is an integer number (53395789).

Almost surely, 2106791577 is an apocalyptic number.

It is an amenable number.

106791577 is a deficient number, since it is larger than the sum of its proper divisors (1).

106791577 is an equidigital number, since it uses as much as digits as its factorization.

106791577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92610, while the sum is 43.

The square root of 106791577 is about 10334.0010160634. The cubic root of 106791577 is about 474.4374903544.

The spelling of 106791577 in words is "one hundred six million, seven hundred ninety-one thousand, five hundred seventy-seven".