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105216449 = 13311311993
BaseRepresentation
bin1100100010101…
…11100111000001
321022222112211112
412101113213001
5203413411244
614235053105
72415216332
oct621274701
9238875745
10105216449
1154434748
122b2a1195
1318a4bc70
14dd8c289
15938539e
hex64579c1

105216449 has 16 divisors (see below), whose sum is σ = 117917184. Its totient is φ = 93225600.

The previous prime is 105216443. The next prime is 105216479. The reversal of 105216449 is 944612501.

It is not a de Polignac number, because 105216449 - 28 = 105216193 is a prime.

It is a super-2 number, since 2×1052164492 = 22141002280339202, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105216443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51797 + ... + 53789.

It is an arithmetic number, because the mean of its divisors is an integer number (7369824).

Almost surely, 2105216449 is an apocalyptic number.

It is an amenable number.

105216449 is a deficient number, since it is larger than the sum of its proper divisors (12700735).

105216449 is a wasteful number, since it uses less digits than its factorization.

105216449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105216449 is about 10257.5069583208. The cubic root of 105216449 is about 472.0933470097.

The spelling of 105216449 in words is "one hundred five million, two hundred sixteen thousand, four hundred forty-nine".

Divisors: 1 13 31 131 403 1703 1993 4061 25909 52793 61783 261083 803179 3394079 8093573 105216449