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105461140217 is a prime number
BaseRepresentation
bin110001000110111111…
…0010100101011111001
3101002012202202000021012
41202031332110223321
53211441022441332
6120240450123305
710422265621046
oct1421576245371
9332182660235
10105461140217
11407a9078624
1218532880535
139c39068864
1451664801cd
152b238d03b2
hex188df94af9

105461140217 has 2 divisors, whose sum is σ = 105461140218. Its totient is φ = 105461140216.

The previous prime is 105461140157. The next prime is 105461140237. The reversal of 105461140217 is 712041164501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105414504976 + 46635241 = 324676^2 + 6829^2 .

It is a cyclic number.

It is not a de Polignac number, because 105461140217 - 210 = 105461139193 is a prime.

It is a super-2 number, since 2×1054611402172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105461140237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52730570108 + 52730570109.

It is an arithmetic number, because the mean of its divisors is an integer number (52730570109).

Almost surely, 2105461140217 is an apocalyptic number.

It is an amenable number.

105461140217 is a deficient number, since it is larger than the sum of its proper divisors (1).

105461140217 is an equidigital number, since it uses as much as digits as its factorization.

105461140217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 105461140217 in words is "one hundred five billion, four hundred sixty-one million, one hundred forty thousand, two hundred seventeen".