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105779071 is a prime number
BaseRepresentation
bin1100100111000…
…00111101111111
321101001010121101
412103200331333
5204034412241
614255113531
72423051536
oct623407577
9241033541
10105779071
1154789422
122b5128a7
1318bb8088
141009731d
159446e31
hex64e0f7f

105779071 has 2 divisors, whose sum is σ = 105779072. Its totient is φ = 105779070.

The previous prime is 105779039. The next prime is 105779077. The reversal of 105779071 is 170977501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105779071 - 25 = 105779039 is a prime.

It is a super-2 number, since 2×1057790712 = 22378423723246082, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105779071.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105779077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52889535 + 52889536.

It is an arithmetic number, because the mean of its divisors is an integer number (52889536).

Almost surely, 2105779071 is an apocalyptic number.

105779071 is a deficient number, since it is larger than the sum of its proper divisors (1).

105779071 is an equidigital number, since it uses as much as digits as its factorization.

105779071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15435, while the sum is 37.

The square root of 105779071 is about 10284.8952838617. The cubic root of 105779071 is about 472.9333236368.

The spelling of 105779071 in words is "one hundred five million, seven hundred seventy-nine thousand, seventy-one".