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106610461 is a prime number
BaseRepresentation
bin1100101101010…
…11111100011101
321102121101001121
412112223330131
5204243013321
614325010541
72433113446
oct626537435
9242541047
10106610461
11551a7021
122b853a51
1319119619
14102322cd
15955d441
hex65abf1d

106610461 has 2 divisors, whose sum is σ = 106610462. Its totient is φ = 106610460.

The previous prime is 106610453. The next prime is 106610473. The reversal of 106610461 is 164016601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88717561 + 17892900 = 9419^2 + 4230^2 .

It is a cyclic number.

It is not a de Polignac number, because 106610461 - 23 = 106610453 is a prime.

It is a super-2 number, since 2×1066104612 = 22731580789265042, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106610561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53305230 + 53305231.

It is an arithmetic number, because the mean of its divisors is an integer number (53305231).

Almost surely, 2106610461 is an apocalyptic number.

It is an amenable number.

106610461 is a deficient number, since it is larger than the sum of its proper divisors (1).

106610461 is an equidigital number, since it uses as much as digits as its factorization.

106610461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 106610461 is about 10325.2341862061. The cubic root of 106610461 is about 474.1691269804.

The spelling of 106610461 in words is "one hundred six million, six hundred ten thousand, four hundred sixty-one".