Search a number
-
+
105274241 is a prime number
BaseRepresentation
bin1100100011001…
…01101110000001
321100002111002222
412101211232001
5203422233431
614240220425
72415546662
oct621455601
9240074088
10105274241
1154474106
122b30a715
1318a6c367
14dda5369
15939757b
hex6465b81

105274241 has 2 divisors, whose sum is σ = 105274242. Its totient is φ = 105274240.

The previous prime is 105274229. The next prime is 105274259. The reversal of 105274241 is 142472501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75342400 + 29931841 = 8680^2 + 5471^2 .

It is an emirp because it is prime and its reverse (142472501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105274241 - 226 = 38165377 is a prime.

It is a super-2 number, since 2×1052742412 = 22165331636252162, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105274241.

It is not a weakly prime, because it can be changed into another prime (105271241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52637120 + 52637121.

It is an arithmetic number, because the mean of its divisors is an integer number (52637121).

Almost surely, 2105274241 is an apocalyptic number.

It is an amenable number.

105274241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105274241 is an equidigital number, since it uses as much as digits as its factorization.

105274241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 105274241 is about 10260.3236303735. The cubic root of 105274241 is about 472.1797664027.

The spelling of 105274241 in words is "one hundred five million, two hundred seventy-four thousand, two hundred forty-one".