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105342646343 = 112870600383
BaseRepresentation
bin110001000011011101…
…0010011100001000111
3101001220111202220020012
41202012322103201013
53211220204140333
6120221014300435
710416326501624
oct1420672234107
9331814686205
10105342646343
11407481a5400
12184bb05771b
139c1a64b33c
14515483734b
152b182c5e48
hex1886e93847

105342646343 has 6 divisors (see below), whose sum is σ = 115789851072. Its totient is φ = 95766042020.

The previous prime is 105342646307. The next prime is 105342646349. The reversal of 105342646343 is 343646243501.

It is not a de Polignac number, because 105342646343 - 236 = 36623169607 is a prime.

It is a super-2 number, since 2×1053426463432 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105342646343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342646349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 435300071 + ... + 435300312.

It is an arithmetic number, because the mean of its divisors is an integer number (19298308512).

Almost surely, 2105342646343 is an apocalyptic number.

105342646343 is a deficient number, since it is larger than the sum of its proper divisors (10447204729).

105342646343 is an equidigital number, since it uses as much as digits as its factorization.

105342646343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870600405 (or 870600394 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

Adding to 105342646343 its reverse (343646243501), we get a palindrome (448988889844).

The spelling of 105342646343 in words is "one hundred five billion, three hundred forty-two million, six hundred forty-six thousand, three hundred forty-three".

Divisors: 1 11 121 870600383 9576604213 105342646343