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106416763 is a prime number
BaseRepresentation
bin1100101011111…
…00101001111011
321102020112100121
412111330221323
5204220314023
614320514111
72431345645
oct625745173
9242215317
10106416763
1155084542
122b77b937
131907c3cb
14101c1895
159520d5d
hex657ca7b

106416763 has 2 divisors, whose sum is σ = 106416764. Its totient is φ = 106416762.

The previous prime is 106416697. The next prime is 106416781. The reversal of 106416763 is 367614601.

It is a strong prime.

It is an emirp because it is prime and its reverse (367614601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106416763 - 29 = 106416251 is a prime.

It is a super-2 number, since 2×1064167632 = 22649054894796338, which contains 22 as substring.

It is equal to p6109297 and since 106416763 and 6109297 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (106416263) 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, 53208381 + 53208382.

It is an arithmetic number, because the mean of its divisors is an integer number (53208382).

Almost surely, 2106416763 is an apocalyptic number.

106416763 is a deficient number, since it is larger than the sum of its proper divisors (1).

106416763 is an equidigital number, since it uses as much as digits as its factorization.

106416763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 106416763 is about 10315.8500861538. The cubic root of 106416763 is about 473.8817840345.

The spelling of 106416763 in words is "one hundred six million, four hundred sixteen thousand, seven hundred sixty-three".