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105344343520 = 2551397522127
BaseRepresentation
bin110001000011100000…
…0110001110111100000
3101001220121222010022121
41202013000301313200
53211221122443040
6120221114514024
710416350100643
oct1420700616740
9331817863277
10105344343520
1140749154529
12184bb735914
139c1aac39a0
145154b59a5a
152b1850dc4a
hex1887031de0

105344343520 has 96 divisors (see below), whose sum is σ = 270783934848. Its totient is φ = 38495305728.

The previous prime is 105344343491. The next prime is 105344343563. The reversal of 105344343520 is 25343443501.

It is a happy number.

It is a super-2 number, since 2×1053443435202 (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 15 ways as a sum of consecutive naturals, for example, 59304 + ... + 462823.

It is an arithmetic number, because the mean of its divisors is an integer number (2820665988).

Almost surely, 2105344343520 is an apocalyptic number.

105344343520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105344343520 is an abundant number, since it is smaller than the sum of its proper divisors (165439591328).

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

105344343520 is a wasteful number, since it uses less digits than its factorization.

105344343520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522252 (or 522244 counting only the distinct ones).

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

The spelling of 105344343520 in words is "one hundred five billion, three hundred forty-four million, three hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 97 104 130 160 194 208 260 388 416 485 520 776 970 1040 1261 1552 1940 2080 2522 3104 3880 5044 6305 7760 10088 12610 15520 20176 25220 40352 50440 100880 201760 522127 1044254 2088508 2610635 4177016 5221270 6787651 8354032 10442540 13575302 16708064 20885080 27150604 33938255 41770160 50646319 54301208 67876510 83540320 101292638 108602416 135753020 202585276 217204832 253231595 271506040 405170552 506463190 543012080 658402147 810341104 1012926380 1086024160 1316804294 1620682208 2025852760 2633608588 3292010735 4051705520 5267217176 6584021470 8103411040 10534434352 13168042940 21068868704 26336085880 52672171760 105344343520