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106800041 is a prime number
BaseRepresentation
bin1100101110110…
…10001110101001
321102222000010002
412113122032221
5204320100131
614333032345
72434533245
oct627321651
9242860102
10106800041
11553164a7
122b9256b5
13191849ba
1410281425
1595996cb
hex65da3a9

106800041 has 2 divisors, whose sum is σ = 106800042. Its totient is φ = 106800040.

The previous prime is 106800037. The next prime is 106800047. The reversal of 106800041 is 140008601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58079641 + 48720400 = 7621^2 + 6980^2 .

It is a cyclic number.

It is not a de Polignac number, because 106800041 - 22 = 106800037 is a prime.

It is a super-2 number, since 2×1068000412 = 22812497515203362, 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 = 106799986 and 106800022.

It is not a weakly prime, because it can be changed into another prime (106800047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53400020 + 53400021.

It is an arithmetic number, because the mean of its divisors is an integer number (53400021).

Almost surely, 2106800041 is an apocalyptic number.

It is an amenable number.

106800041 is a deficient number, since it is larger than the sum of its proper divisors (1).

106800041 is an equidigital number, since it uses as much as digits as its factorization.

106800041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 106800041 is about 10334.4105298754. The cubic root of 106800041 is about 474.4500242169.

Adding to 106800041 its reverse (140008601), we get a palindrome (246808642).

The spelling of 106800041 in words is "one hundred six million, eight hundred thousand, forty-one".