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105468353 is a prime number
BaseRepresentation
bin1100100100101…
…01000111000001
321100110100101022
412102111013001
5203444441403
614244315225
72420315624
oct622250701
9240410338
10105468353
1154596a31
122b3a2b15
1318b09813
1410015dbb
1593d4d38
hex64951c1

105468353 has 2 divisors, whose sum is σ = 105468354. Its totient is φ = 105468352.

The previous prime is 105468347. The next prime is 105468367. The reversal of 105468353 is 353864501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60403984 + 45064369 = 7772^2 + 6713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105468353 is a prime.

It is a super-2 number, since 2×1054683532 = 22247146969065218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105468313) 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, 52734176 + 52734177.

It is an arithmetic number, because the mean of its divisors is an integer number (52734177).

Almost surely, 2105468353 is an apocalyptic number.

It is an amenable number.

105468353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105468353 is an equidigital number, since it uses as much as digits as its factorization.

105468353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 105468353 is about 10269.7786246832. The cubic root of 105468353 is about 472.4698008936.

The spelling of 105468353 in words is "one hundred five million, four hundred sixty-eight thousand, three hundred fifty-three".