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105434121209 is a prime number
BaseRepresentation
bin110001000110001011…
…1010000001111111001
3101002010212220022011012
41202030113100033321
53211412113334314
6120234043043305
710421520146324
oct1421427201771
9332125808135
10105434121209
11407948a386a
1218525810535
139c33598691
145162a497bb
152b2134493e
hex188c5d03f9

105434121209 has 2 divisors, whose sum is σ = 105434121210. Its totient is φ = 105434121208.

The previous prime is 105434121167. The next prime is 105434121239. The reversal of 105434121209 is 902121434501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104504785984 + 929335225 = 323272^2 + 30485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105434121209 is a prime.

It is a super-2 number, since 2×1054341212092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105434121239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52717060604 + 52717060605.

It is an arithmetic number, because the mean of its divisors is an integer number (52717060605).

Almost surely, 2105434121209 is an apocalyptic number.

It is an amenable number.

105434121209 is a deficient number, since it is larger than the sum of its proper divisors (1).

105434121209 is an equidigital number, since it uses as much as digits as its factorization.

105434121209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 105434121209 in words is "one hundred five billion, four hundred thirty-four million, one hundred twenty-one thousand, two hundred nine".