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106349740781 is a prime number
BaseRepresentation
bin110001100001011110…
…0000100001011101101
3101011111200210121002012
41203002330010023231
53220301013201111
6120504552011005
710453305611204
oct1430274041355
9334450717065
10106349740781
1141114724359
1218740390a65
13a04b1a06cb
14520c4b023b
152b7690948b
hex18c2f042ed

106349740781 has 2 divisors, whose sum is σ = 106349740782. Its totient is φ = 106349740780.

The previous prime is 106349740681. The next prime is 106349740793. The reversal of 106349740781 is 187047943601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53959108681 + 52390632100 = 232291^2 + 228890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106349740781 is a prime.

It is a super-2 number, since 2×1063497407812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106349740681) 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, 53174870390 + 53174870391.

It is an arithmetic number, because the mean of its divisors is an integer number (53174870391).

Almost surely, 2106349740781 is an apocalyptic number.

It is an amenable number.

106349740781 is a deficient number, since it is larger than the sum of its proper divisors (1).

106349740781 is an equidigital number, since it uses as much as digits as its factorization.

106349740781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 106349740781 in words is "one hundred six billion, three hundred forty-nine million, seven hundred forty thousand, seven hundred eighty-one".