Search a number
-
+
105210269 is a prime number
BaseRepresentation
bin1100100010101…
…10000110011101
321022222020100122
412101112012131
5203413212034
614235004325
72415162323
oct621260635
9238866318
10105210269
115443003a
122b2996a5
1318a491c8
14dd89d13
15938362e
hex645619d

105210269 has 2 divisors, whose sum is σ = 105210270. Its totient is φ = 105210268.

The previous prime is 105210251. The next prime is 105210317. The reversal of 105210269 is 962012501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95785369 + 9424900 = 9787^2 + 3070^2 .

It is an emirp because it is prime and its reverse (962012501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105210269 - 28 = 105210013 is a prime.

It is a super-2 number, since 2×1052102692 = 22138401406104722, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105210169) 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, 52605134 + 52605135.

It is an arithmetic number, because the mean of its divisors is an integer number (52605135).

Almost surely, 2105210269 is an apocalyptic number.

It is an amenable number.

105210269 is a deficient number, since it is larger than the sum of its proper divisors (1).

105210269 is an equidigital number, since it uses as much as digits as its factorization.

105210269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105210269 is about 10257.2057111087. The cubic root of 105210269 is about 472.0841038605.

The spelling of 105210269 in words is "one hundred five million, two hundred ten thousand, two hundred sixty-nine".