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106514801 is a prime number
BaseRepresentation
bin1100101100101…
…00100101110001
321102102111211122
412112110211301
5204231433201
614322552025
72432234531
oct626244561
9242374748
10106514801
1155141168
122b808615
13190b4c13
14102094c1
15953ee1b
hex6594971

106514801 has 2 divisors, whose sum is σ = 106514802. Its totient is φ = 106514800.

The previous prime is 106514797. The next prime is 106514861. The reversal of 106514801 is 108415601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63218401 + 43296400 = 7951^2 + 6580^2 .

It is a cyclic number.

It is not a de Polignac number, because 106514801 - 22 = 106514797 is a prime.

It is a super-2 number, since 2×1065148012 = 22690805664139202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106514861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53257400 + 53257401.

It is an arithmetic number, because the mean of its divisors is an integer number (53257401).

Almost surely, 2106514801 is an apocalyptic number.

It is an amenable number.

106514801 is a deficient number, since it is larger than the sum of its proper divisors (1).

106514801 is an equidigital number, since it uses as much as digits as its factorization.

106514801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 106514801 is about 10320.6008061546. The cubic root of 106514801 is about 474.0272628779.

The spelling of 106514801 in words is "one hundred six million, five hundred fourteen thousand, eight hundred one".