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106416781 is a prime number
BaseRepresentation
bin1100101011111…
…00101010001101
321102020112101021
412111330222031
5204220314111
614320514141
72431346002
oct625745215
9242215337
10106416781
1155084559
122b77b951
131907c413
14101c18a9
159520d71
hex657ca8d

106416781 has 2 divisors, whose sum is σ = 106416782. Its totient is φ = 106416780.

The previous prime is 106416763. The next prime is 106416799. The reversal of 106416781 is 187614601.

It is a balanced prime because it is at equal distance from previous prime (106416763) and next prime (106416799).

It can be written as a sum of positive squares in only one way, i.e., 97831881 + 8584900 = 9891^2 + 2930^2 .

It is a cyclic number.

It is not a de Polignac number, because 106416781 - 211 = 106414733 is a prime.

It is a super-2 number, since 2×1064167812 = 22649062556803922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106416581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53208390 + 53208391.

It is an arithmetic number, because the mean of its divisors is an integer number (53208391).

Almost surely, 2106416781 is an apocalyptic number.

It is an amenable number.

106416781 is a deficient number, since it is larger than the sum of its proper divisors (1).

106416781 is an equidigital number, since it uses as much as digits as its factorization.

106416781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 106416781 is about 10315.8509585976. The cubic root of 106416781 is about 473.8818107529.

The spelling of 106416781 in words is "one hundred six million, four hundred sixteen thousand, seven hundred eighty-one".