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106684441 is a prime number
BaseRepresentation
bin1100101101111…
…10000000011001
321102202010112121
412112332000121
5204302400231
614330341241
72433542233
oct626760031
9242663477
10106684441
1155247666
122b88a821
13191441b6
1410251253
159575311
hex65be019

106684441 has 2 divisors, whose sum is σ = 106684442. Its totient is φ = 106684440.

The previous prime is 106684439. The next prime is 106684481. The reversal of 106684441 is 144486601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106090000 + 594441 = 10300^2 + 771^2 .

It is a cyclic number.

It is not a de Polignac number, because 106684441 - 21 = 106684439 is a prime.

It is a super-2 number, since 2×1066844412 = 22763139902964962, which contains 22 as substring.

Together with 106684439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 106684397 and 106684406.

It is not a weakly prime, because it can be changed into another prime (106684421) 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, 53342220 + 53342221.

It is an arithmetic number, because the mean of its divisors is an integer number (53342221).

Almost surely, 2106684441 is an apocalyptic number.

It is an amenable number.

106684441 is a deficient number, since it is larger than the sum of its proper divisors (1).

106684441 is an equidigital number, since it uses as much as digits as its factorization.

106684441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 106684441 is about 10328.8160502547. The cubic root of 106684441 is about 474.2787813886.

The spelling of 106684441 in words is "one hundred six million, six hundred eighty-four thousand, four hundred forty-one".