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105715338149 is a prime number
BaseRepresentation
bin110001001110100100…
…0000000101110100101
3101002212111001121021102
41202131020000232211
53213001111310044
6120322010325445
710431503355641
oct1423510005645
9332774047242
10105715338149
1140919609263
12185a3a29885
139c7991ac35
14518c12dc21
152b3ad9324e
hex189d200ba5

105715338149 has 2 divisors, whose sum is σ = 105715338150. Its totient is φ = 105715338148.

The previous prime is 105715338119. The next prime is 105715338199. The reversal of 105715338149 is 941833517501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99220590049 + 6494748100 = 314993^2 + 80590^2 .

It is a cyclic number.

It is not a de Polignac number, because 105715338149 - 220 = 105714289573 is a prime.

It is a super-2 number, since 2×1057153381492 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105715338119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52857669074 + 52857669075.

It is an arithmetic number, because the mean of its divisors is an integer number (52857669075).

Almost surely, 2105715338149 is an apocalyptic number.

It is an amenable number.

105715338149 is a deficient number, since it is larger than the sum of its proper divisors (1).

105715338149 is an equidigital number, since it uses as much as digits as its factorization.

105715338149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 105715338149 in words is "one hundred five billion, seven hundred fifteen million, three hundred thirty-eight thousand, one hundred forty-nine".