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105738383297 is a prime number
BaseRepresentation
bin110001001111001111…
…1111010111111000001
3101002221002102102021102
41202132133322333001
53213023011231142
6120324152304145
710432203266651
oct1423637727701
9332832372242
10105738383297
1140930619438
12185ab6a2055
139c81629411
14519120c361
152b3cde6532
hex189e7fafc1

105738383297 has 2 divisors, whose sum is σ = 105738383298. Its totient is φ = 105738383296.

The previous prime is 105738383293. The next prime is 105738383323. The reversal of 105738383297 is 792383837501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100342599361 + 5395783936 = 316769^2 + 73456^2 .

It is a cyclic number.

It is not a de Polignac number, because 105738383297 - 22 = 105738383293 is a prime.

It is a super-2 number, since 2×1057383832972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105738383293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52869191648 + 52869191649.

It is an arithmetic number, because the mean of its divisors is an integer number (52869191649).

Almost surely, 2105738383297 is an apocalyptic number.

It is an amenable number.

105738383297 is a deficient number, since it is larger than the sum of its proper divisors (1).

105738383297 is an equidigital number, since it uses as much as digits as its factorization.

105738383297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 105738383297 in words is "one hundred five billion, seven hundred thirty-eight million, three hundred eighty-three thousand, two hundred ninety-seven".