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105404461 is a prime number
BaseRepresentation
bin1100100100001…
…01100000101101
321100100002201221
412102011200231
5203440420321
614243103341
72416631431
oct622054055
9240302657
10105404461
1154552a28
122b371b51
1318ab6706
14ddda9c1
1593c0e41
hex648582d

105404461 has 2 divisors, whose sum is σ = 105404462. Its totient is φ = 105404460.

The previous prime is 105404447. The next prime is 105404477. The reversal of 105404461 is 164404501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101888836 + 3515625 = 10094^2 + 1875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105404461 is a prime.

It is a super-2 number, since 2×1054044612 = 22220200797401042, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105404491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702230 + 52702231.

It is an arithmetic number, because the mean of its divisors is an integer number (52702231).

Almost surely, 2105404461 is an apocalyptic number.

It is an amenable number.

105404461 is a deficient number, since it is larger than the sum of its proper divisors (1).

105404461 is an equidigital number, since it uses as much as digits as its factorization.

105404461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 105404461 is about 10266.6674729437. The cubic root of 105404461 is about 472.3743753073.

Adding to 105404461 its reverse (164404501), we get a palindrome (269808962).

The spelling of 105404461 in words is "one hundred five million, four hundred four thousand, four hundred sixty-one".