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106099013 is a prime number
BaseRepresentation
bin1100101001011…
…11000101000101
321101122101111002
412110233011011
5204130132023
614310023045
72425553366
oct624570505
9241571432
10106099013
1154987839
122b647a85
1318c9a8a7
141013bb6d
1594abb28
hex652f145

106099013 has 2 divisors, whose sum is σ = 106099014. Its totient is φ = 106099012.

The previous prime is 106099009. The next prime is 106099061. The reversal of 106099013 is 310990601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68178049 + 37920964 = 8257^2 + 6158^2 .

It is an emirp because it is prime and its reverse (310990601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106099013 - 22 = 106099009 is a prime.

It is a super-2 number, since 2×1060990132 = 22514001119148338, which 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 (106099613) 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, 53049506 + 53049507.

It is an arithmetic number, because the mean of its divisors is an integer number (53049507).

Almost surely, 2106099013 is an apocalyptic number.

It is an amenable number.

106099013 is a deficient number, since it is larger than the sum of its proper divisors (1).

106099013 is an equidigital number, since it uses as much as digits as its factorization.

106099013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 106099013 is about 10300.4375149796. The cubic root of 106099013 is about 473.4096589981.

The spelling of 106099013 in words is "one hundred six million, ninety-nine thousand, thirteen".