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105414410357 is a prime number
BaseRepresentation
bin110001000101100110…
…0000100000001110101
3101002002111210212221122
41202023030010001311
53211342042112412
6120232100353325
710421160463304
oct1421314040165
9332074725848
10105414410357
1140784760803
121851b0a5845
139c2c486a59
14516019843b
152b1e74e572
hex188b304075

105414410357 has 2 divisors, whose sum is σ = 105414410358. Its totient is φ = 105414410356.

The previous prime is 105414410351. The next prime is 105414410363. The reversal of 105414410357 is 753014414501.

It is a balanced prime because it is at equal distance from previous prime (105414410351) and next prime (105414410363).

It can be written as a sum of positive squares in only one way, i.e., 69530306596 + 35884103761 = 263686^2 + 189431^2 .

It is an emirp because it is prime and its reverse (753014414501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105414410357 - 212 = 105414406261 is a prime.

It is a super-2 number, since 2×1054144103572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105414410351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52707205178 + 52707205179.

It is an arithmetic number, because the mean of its divisors is an integer number (52707205179).

Almost surely, 2105414410357 is an apocalyptic number.

It is an amenable number.

105414410357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414410357 is an equidigital number, since it uses as much as digits as its factorization.

105414410357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33600, while the sum is 35.

Adding to 105414410357 its reverse (753014414501), we get a palindrome (858428824858).

The spelling of 105414410357 in words is "one hundred five billion, four hundred fourteen million, four hundred ten thousand, three hundred fifty-seven".