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105306049 is a prime number
BaseRepresentation
bin1100100011011…
…01011111000001
321100011002202001
412101231133001
5203424243144
614241024001
72416041502
oct621553701
9240132661
10105306049
1154495aa2
122b325001
1318a80994
14ddb2ba9
1593a1bd4
hex646d7c1

105306049 has 2 divisors, whose sum is σ = 105306050. Its totient is φ = 105306048.

The previous prime is 105306017. The next prime is 105306059. The reversal of 105306049 is 940603501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82810000 + 22496049 = 9100^2 + 4743^2 .

It is a cyclic number.

It is not a de Polignac number, because 105306049 - 25 = 105306017 is a prime.

It is a super-3 number, since 3×1053060493 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105306059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52653024 + 52653025.

It is an arithmetic number, because the mean of its divisors is an integer number (52653025).

Almost surely, 2105306049 is an apocalyptic number.

It is an amenable number.

105306049 is a deficient number, since it is larger than the sum of its proper divisors (1).

105306049 is an equidigital number, since it uses as much as digits as its factorization.

105306049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 105306049 is about 10261.8735618794. The cubic root of 105306049 is about 472.2273170713.

The spelling of 105306049 in words is "one hundred five million, three hundred six thousand, forty-nine".