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105106201 is a prime number
BaseRepresentation
bin1100100001111…
…00101100011001
321022202221121021
412100330230121
5203401344301
614232442441
72414250034
oct620745431
9238687537
10105106201
1154369932
122b249421
1318a10a25
14dd6001b
1593628a1
hex643cb19

105106201 has 2 divisors, whose sum is σ = 105106202. Its totient is φ = 105106200.

The previous prime is 105106181. The next prime is 105106217. The reversal of 105106201 is 102601501.

It is a happy number.

It is an a-pointer prime, because the next prime (105106217) can be obtained adding 105106201 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91776400 + 13329801 = 9580^2 + 3651^2 .

It is a cyclic number.

It is not a de Polignac number, because 105106201 - 225 = 71551769 is a prime.

It is a super-2 number, since 2×1051062012 = 22094626977304802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105106901) 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, 52553100 + 52553101.

It is an arithmetic number, because the mean of its divisors is an integer number (52553101).

Almost surely, 2105106201 is an apocalyptic number.

It is an amenable number.

105106201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106201 is an equidigital number, since it uses as much as digits as its factorization.

105106201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105106201 is about 10252.1315344664. The cubic root of 105106201 is about 471.9283996174.

Adding to 105106201 its reverse (102601501), we get a palindrome (207707702).

The spelling of 105106201 in words is "one hundred five million, one hundred six thousand, two hundred one".