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105343425340 = 22521129038599
BaseRepresentation
bin110001000011011110…
…1010001101100111100
3101001220120020110210221
41202012331101230330
53211220404102330
6120221043111124
710416336225016
oct1420675215474
9331816213727
10105343425340
11407486876aa
12184bb3724a4
139c1a861a9a
14515499b1b6
152b183cbb7a
hex1886f51b3c

105343425340 has 48 divisors (see below), whose sum is σ = 222372057600. Its totient is φ = 41918345280.

The previous prime is 105343425323. The next prime is 105343425349. The reversal of 105343425340 is 43524343501.

It is a happy number.

It is a super-2 number, since 2×1053434253402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105343425296 and 105343425305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343425349) 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 in 15 ways as a sum of consecutive naturals, for example, 12246361 + ... + 12254959.

It is an arithmetic number, because the mean of its divisors is an integer number (4632751200).

Almost surely, 2105343425340 is an apocalyptic number.

105343425340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105343425340 is an abundant number, since it is smaller than the sum of its proper divisors (117028632260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105343425340 is a wasteful number, since it uses less digits than its factorization.

105343425340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722 (or 11720 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 105343425340 its reverse (43524343501), we get a palindrome (148867768841).

The spelling of 105343425340 in words is "one hundred five billion, three hundred forty-three million, four hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 2110 2903 4220 5806 8599 11612 14515 17198 29030 34396 42995 58060 85990 171980 612533 1225066 1814389 2450132 3062665 3628778 6125330 7257556 9071945 12250660 18143890 24962897 36287780 49925794 99851588 124814485 249628970 499257940 5267171267 10534342534 21068685068 26335856335 52671712670 105343425340