Search a number
-
+
105540110339 is a prime number
BaseRepresentation
bin110001001001010101…
…1100100100000000011
3101002102021100002220112
41202102223210200003
53212121232012324
6120252350501535
710424245064456
oct1422253444003
9332367302815
10105540110339
1140839705a94
12185552048ab
139c4c528241
145172b5949d
152b2a7cdc0e
hex1892ae4803

105540110339 has 2 divisors, whose sum is σ = 105540110340. Its totient is φ = 105540110338.

The previous prime is 105540110279. The next prime is 105540110341. The reversal of 105540110339 is 933011045501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105540110339 is a prime.

It is a super-2 number, since 2×1055401103392 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 105540110341, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105540110239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770055169 + 52770055170.

It is an arithmetic number, because the mean of its divisors is an integer number (52770055170).

Almost surely, 2105540110339 is an apocalyptic number.

105540110339 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540110339 is an equidigital number, since it uses as much as digits as its factorization.

105540110339 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 32.

The spelling of 105540110339 in words is "one hundred five billion, five hundred forty million, one hundred ten thousand, three hundred thirty-nine".