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106666733 is a prime number
BaseRepresentation
bin1100101101110…
…01101011101101
321102201020020202
412112321223231
5204301313413
614330123245
72433436505
oct626715355
9242636222
10106666733
1155235328
122b880525
1319139114
1410248a05
15956ee58
hex65b9aed

106666733 has 2 divisors, whose sum is σ = 106666734. Its totient is φ = 106666732.

The previous prime is 106666723. The next prime is 106666771. The reversal of 106666733 is 337666601.

It is an a-pointer prime, because the next prime (106666771) can be obtained adding 106666733 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104919049 + 1747684 = 10243^2 + 1322^2 .

It is a cyclic number.

It is not a de Polignac number, because 106666733 - 28 = 106666477 is a prime.

It is a super-2 number, since 2×1066667332 = 22755583857786578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106666723) 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, 53333366 + 53333367.

It is an arithmetic number, because the mean of its divisors is an integer number (53333367).

Almost surely, 2106666733 is an apocalyptic number.

It is an amenable number.

106666733 is a deficient number, since it is larger than the sum of its proper divisors (1).

106666733 is an equidigital number, since it uses as much as digits as its factorization.

106666733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 106666733 is about 10327.9588012346. The cubic root of 106666733 is about 474.2525389072.

The spelling of 106666733 in words is "one hundred six million, six hundred sixty-six thousand, seven hundred thirty-three".