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105424412000 = 2553171550359
BaseRepresentation
bin110001000101111001…
…0001101110101100000
3101002010012122000121212
41202023302031311200
53211402122141000
6120233055005252
710421341500515
oct1421362156540
9332105560555
10105424412000
114078a372126
1218522509828
139c3157929b
14516163d30c
152b20577c35
hex188bc8dd60

105424412000 has 96 divisors (see below), whose sum is σ = 274264885440. Its totient is φ = 39689164800.

The previous prime is 105424411969. The next prime is 105424412039. The reversal of 105424412000 is 214424501.

It is a super-2 number, since 2×1054244120002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 707180 + ... + 843179.

It is an arithmetic number, because the mean of its divisors is an integer number (2856925890).

Almost surely, 2105424412000 is an apocalyptic number.

105424412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105424412000 is an abundant number, since it is smaller than the sum of its proper divisors (168840473440).

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

105424412000 is a wasteful number, since it uses less digits than its factorization.

105424412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550401 (or 1550383 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 105424412000 its reverse (214424501), we get a palindrome (105638836501).

The spelling of 105424412000 in words is "one hundred five billion, four hundred twenty-four million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 1550359 3100718 6201436 7751795 12402872 15503590 24805744 26356103 31007180 38758975 49611488 52712206 62014360 77517950 105424412 124028720 131780515 155035900 193794875 210848824 248057440 263561030 310071800 387589750 421697648 527122060 620143600 658902575 775179500 843395296 1054244120 1240287200 1317805150 1550359000 2108488240 2635610300 3100718000 3294512875 4216976480 5271220600 6201436000 6589025750 10542441200 13178051500 21084882400 26356103000 52712206000 105424412000