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105396449 is a prime number
BaseRepresentation
bin1100100100000…
…11100011100001
321100022200202012
412102003203201
5203440141244
614243002305
72416566164
oct622034341
9240280665
10105396449
1154547a04
122b369395
1318ab2b82
14ddd7adb
1593bd89e
hex64838e1

105396449 has 2 divisors, whose sum is σ = 105396450. Its totient is φ = 105396448.

The previous prime is 105396409. The next prime is 105396493. The reversal of 105396449 is 944693501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102657424 + 2739025 = 10132^2 + 1655^2 .

It is a cyclic number.

It is not a de Polignac number, because 105396449 - 216 = 105330913 is a prime.

It is a super-2 number, since 2×1053964492 = 22216822923619202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105396409) 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, 52698224 + 52698225.

It is an arithmetic number, because the mean of its divisors is an integer number (52698225).

Almost surely, 2105396449 is an apocalyptic number.

It is an amenable number.

105396449 is a deficient number, since it is larger than the sum of its proper divisors (1).

105396449 is an equidigital number, since it uses as much as digits as its factorization.

105396449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 105396449 is about 10266.2772707540. The cubic root of 105396449 is about 472.3624063029.

The spelling of 105396449 in words is "one hundred five million, three hundred ninety-six thousand, four hundred forty-nine".