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105683353 is a prime number
BaseRepresentation
bin1100100110010…
…01100110011001
321100212021022021
412103021212121
5204023331403
614253054441
72422202506
oct623114631
9240767267
10105683353
1154723516
122b487421
1318b83639
14100704ad
1594288bd
hex64c9999

105683353 has 2 divisors, whose sum is σ = 105683354. Its totient is φ = 105683352.

The previous prime is 105683329. The next prime is 105683387. The reversal of 105683353 is 353386501.

It is an a-pointer prime, because the next prime (105683387) can be obtained adding 105683353 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59552089 + 46131264 = 7717^2 + 6792^2 .

It is a cyclic number.

It is not a de Polignac number, because 105683353 - 213 = 105675161 is a prime.

It is a super-2 number, since 2×1056833532 = 22337942202645218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105683323) 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 as a sum of consecutive naturals, namely, 52841676 + 52841677.

It is an arithmetic number, because the mean of its divisors is an integer number (52841677).

Almost surely, 2105683353 is an apocalyptic number.

It is an amenable number.

105683353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105683353 is an equidigital number, since it uses as much as digits as its factorization.

105683353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 105683353 is about 10280.2409018466. The cubic root of 105683353 is about 472.7906303406.

The spelling of 105683353 in words is "one hundred five million, six hundred eighty-three thousand, three hundred fifty-three".