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105238155859237 is a prime number
BaseRepresentation
bin10111111011011010101010…
…111001011001010100100101
3111210121200002000200211011001
4113323122222321121110211
5102243210220344443422
61011453424045513301
731111130415252502
oct2773325271312445
9453550060624131
10105238155859237
113059428447a6a5
12b977a39572831
134694bb950537b
141bdb7a7d604a9
15c277450c5227
hex5fb6aae59525

105238155859237 has 2 divisors, whose sum is σ = 105238155859238. Its totient is φ = 105238155859236.

The previous prime is 105238155859219. The next prime is 105238155859267. The reversal of 105238155859237 is 732958551832501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81888907464001 + 23349248395236 = 9049249^2 + 4832106^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105238155859237 is a prime.

It is a super-2 number, since 2×1052381558592372 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105238155859267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52619077929618 + 52619077929619.

It is an arithmetic number, because the mean of its divisors is an integer number (52619077929619).

Almost surely, 2105238155859237 is an apocalyptic number.

It is an amenable number.

105238155859237 is a deficient number, since it is larger than the sum of its proper divisors (1).

105238155859237 is an equidigital number, since it uses as much as digits as its factorization.

105238155859237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720000, while the sum is 64.

The spelling of 105238155859237 in words is "one hundred five trillion, two hundred thirty-eight billion, one hundred fifty-five million, eight hundred fifty-nine thousand, two hundred thirty-seven".