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10507105109 is a prime number
BaseRepresentation
bin10011100100100010…
…11011001101010101
31000010020222020120002
421302101123031111
5133004304330414
64454335421045
7521242630334
oct116221331525
930106866502
1010507105109
114501a94646
122052984785
13cb5a8c577
14719647d1b
1541767b4de
hex27245b355

10507105109 has 2 divisors, whose sum is σ = 10507105110. Its totient is φ = 10507105108.

The previous prime is 10507105067. The next prime is 10507105181. The reversal of 10507105109 is 90150170501.

10507105109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10506865009 + 240100 = 102503^2 + 490^2 .

It is a cyclic number.

It is not a de Polignac number, because 10507105109 - 216 = 10507039573 is a prime.

It is a super-2 number, since 2×105071051092 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10507105199) 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, 5253552554 + 5253552555.

It is an arithmetic number, because the mean of its divisors is an integer number (5253552555).

Almost surely, 210507105109 is an apocalyptic number.

It is an amenable number.

10507105109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10507105109 is an equidigital number, since it uses as much as digits as its factorization.

10507105109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 29.

The spelling of 10507105109 in words is "ten billion, five hundred seven million, one hundred five thousand, one hundred nine".