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106823581 is a prime number
BaseRepresentation
bin1100101110111…
…11111110011101
321110000012101221
412113133332131
5204321323311
614333333341
72434662004
oct627377635
9243005357
10106823581
1155332157
122b937251
1319192627
1410289c3b
1595a1671
hex65dff9d

106823581 has 2 divisors, whose sum is σ = 106823582. Its totient is φ = 106823580.

The previous prime is 106823579. The next prime is 106823623. The reversal of 106823581 is 185328601.

106823581 is nontrivially palindromic in base 6.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90421081 + 16402500 = 9509^2 + 4050^2 .

It is a cyclic number.

It is not a de Polignac number, because 106823581 - 21 = 106823579 is a prime.

It is a super-2 number, since 2×1068235812 = 22822554915327122, which contains 22 as substring.

Together with 106823579, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106823531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53411790 + 53411791.

It is an arithmetic number, because the mean of its divisors is an integer number (53411791).

Almost surely, 2106823581 is an apocalyptic number.

It is an amenable number.

106823581 is a deficient number, since it is larger than the sum of its proper divisors (1).

106823581 is an equidigital number, since it uses as much as digits as its factorization.

106823581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 106823581 is about 10335.5493806570. The cubic root of 106823581 is about 474.4848798000.

It can be divided in two parts, 1068 and 23581, that added together give a square (24649 = 1572).

The spelling of 106823581 in words is "one hundred six million, eight hundred twenty-three thousand, five hundred eighty-one".