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105576941 is a prime number
BaseRepresentation
bin1100100101011…
…11100111101101
321100122212100002
412102233213231
5204011430231
614250514045
72421250331
oct622574755
9240585302
10105576941
1154660578
122b435925
1318b47082
14100437c1
1594070cb
hex64af9ed

105576941 has 2 divisors, whose sum is σ = 105576942. Its totient is φ = 105576940.

The previous prime is 105576937. The next prime is 105576967. The reversal of 105576941 is 149675501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94381225 + 11195716 = 9715^2 + 3346^2 .

It is an emirp because it is prime and its reverse (149675501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105576941 - 22 = 105576937 is a prime.

It is a super-2 number, since 2×1055769412 = 22292980941834962, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105576895 and 105576904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105576931) 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, 52788470 + 52788471.

It is an arithmetic number, because the mean of its divisors is an integer number (52788471).

Almost surely, 2105576941 is an apocalyptic number.

It is an amenable number.

105576941 is a deficient number, since it is larger than the sum of its proper divisors (1).

105576941 is an equidigital number, since it uses as much as digits as its factorization.

105576941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 105576941 is about 10275.0640387299. The cubic root of 105576941 is about 472.6318936036.

The spelling of 105576941 in words is "one hundred five million, five hundred seventy-six thousand, nine hundred forty-one".