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105543044320 = 2557238934607
BaseRepresentation
bin110001001001011011…
…0110000110011100000
3101002102110212011120111
41202102312300303200
53212123004404240
6120252533421104
710424312034400
oct1422266606340
9332373764514
10105543044320
114084032a36a
121855619a794
139c5001481c
1451732c0800
152b2abad1ea
hex1892db0ce0

105543044320 has 144 divisors (see below), whose sum is σ = 290808947520. Its totient is φ = 36092120064.

The previous prime is 105543044297. The next prime is 105543044333. The reversal of 105543044320 is 23440345501.

It is a super-2 number, since 2×1055430443202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3032457 + ... + 3067063.

It is an arithmetic number, because the mean of its divisors is an integer number (2019506580).

Almost surely, 2105543044320 is an apocalyptic number.

105543044320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105543044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145404473760).

105543044320 is an abundant number, since it is smaller than the sum of its proper divisors (185265903200).

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

105543044320 is a wasteful number, since it uses less digits than its factorization.

105543044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35025 (or 35010 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 105543044320 its reverse (23440345501), we get a palindrome (128983389821).

The spelling of 105543044320 in words is "one hundred five billion, five hundred forty-three million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 389 392 490 560 778 784 980 1120 1556 1568 1945 1960 2723 3112 3890 3920 5446 6224 7780 7840 10892 12448 13615 15560 19061 21784 27230 31120 34607 38122 43568 54460 62240 69214 76244 87136 95305 108920 138428 152488 173035 190610 217840 242249 276856 304976 346070 381220 435680 484498 553712 609952 692140 762440 968996 1107424 1211245 1384280 1524880 1695743 1937992 2422490 2768560 3049760 3391486 3875984 4844980 5537120 6782972 7751968 8478715 9689960 13462123 13565944 16957430 19379920 26924246 27131888 33914860 38759840 53848492 54263776 67310615 67829720 94234861 107696984 134621230 135659440 188469722 215393968 269242460 271318880 376939444 430787936 471174305 538484920 659644027 753878888 942348610 1076969840 1319288054 1507757776 1884697220 2153939680 2638576108 3015515552 3298220135 3769394440 5277152216 6596440270 7538788880 10554304432 13192880540 15077577760 21108608864 26385761080 52771522160 105543044320