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105343550430 = 23543128363649
BaseRepresentation
bin110001000011011110…
…1110000001111011110
3101001220120110211101220
41202012331300033132
53211220422103210
6120221045514210
710416340255506
oct1420675601736
9331816424356
10105343550430
1140748762688
12184bb412966
139c1a8a69c1
1451549d0a06
152b18403c70
hex1886f703de

105343550430 has 64 divisors (see below), whose sum is σ = 258909868800. Its totient is φ = 27416503296.

The previous prime is 105343550423. The next prime is 105343550443. The reversal of 105343550430 is 34055343501.

It is a super-2 number, since 2×1053435504302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105343550391 and 105343550400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623246 + ... + 1686894.

It is an arithmetic number, because the mean of its divisors is an integer number (4045466700).

Almost surely, 2105343550430 is an apocalyptic number.

105343550430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105343550430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129454934400).

105343550430 is an abundant number, since it is smaller than the sum of its proper divisors (153566318370).

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

105343550430 is a wasteful number, since it uses less digits than its factorization.

105343550430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64985.

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 105343550430 its reverse (34055343501), we get a palindrome (139398893931).

The spelling of 105343550430 in words is "one hundred five billion, three hundred forty-three million, five hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1283 1290 2566 3849 6415 7698 12830 19245 38490 55169 63649 110338 127298 165507 190947 275845 318245 331014 381894 551690 636490 827535 954735 1655070 1909470 2736907 5473814 8210721 13684535 16421442 27369070 41053605 81661667 82107210 163323334 244985001 408308335 489970002 816616670 1224925005 2449850010 3511451681 7022903362 10534355043 17557258405 21068710086 35114516810 52671775215 105343550430