Search a number
-
+
105795347771 is a prime number
BaseRepresentation
bin110001010000111100…
…1001110010100111011
3101010002001121111211202
41202201321032110323
53213132102112041
6120333545244415
710433464422101
oct1424171162473
9333061544752
10105795347771
114095a796713
121860679370b
139c903827c9
1451989d9c71
152b42de9a9b
hex18a1e4e53b

105795347771 has 2 divisors, whose sum is σ = 105795347772. Its totient is φ = 105795347770.

The previous prime is 105795347753. The next prime is 105795347783. The reversal of 105795347771 is 177743597501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105795347771 is a prime.

It is a super-2 number, since 2×1057953477712 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105795347701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52897673885 + 52897673886.

It is an arithmetic number, because the mean of its divisors is an integer number (52897673886).

Almost surely, 2105795347771 is an apocalyptic number.

105795347771 is a deficient number, since it is larger than the sum of its proper divisors (1).

105795347771 is an equidigital number, since it uses as much as digits as its factorization.

105795347771 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6482700, while the sum is 56.

The spelling of 105795347771 in words is "one hundred five billion, seven hundred ninety-five million, three hundred forty-seven thousand, seven hundred seventy-one".