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105124340343 = 31131434095843
BaseRepresentation
bin110000111100111100…
…1100010001001110111
3101001100021222210200210
41201321321202021313
53210243312342333
6120143215240503
710411036102161
oct1417171421167
9331307883623
10105124340343
1140645a49920
1218459b19133
139bb43549a9
14513384b931
152b04052a63
hex1879e62277

105124340343 has 64 divisors (see below), whose sum is σ = 161933967360. Its totient is φ = 60065107200.

The previous prime is 105124340333. The next prime is 105124340351. The reversal of 105124340343 is 343043421501.

It is not a de Polignac number, because 105124340343 - 222 = 105120146039 is a prime.

It is a super-2 number, since 2×1051243403432 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105124340343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124340333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17988580 + ... + 17994422.

It is an arithmetic number, because the mean of its divisors is an integer number (2530218240).

Almost surely, 2105124340343 is an apocalyptic number.

105124340343 is a deficient number, since it is larger than the sum of its proper divisors (56809627017).

105124340343 is a wasteful number, since it uses less digits than its factorization.

105124340343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 105124340343 its reverse (343043421501), we get a palindrome (448167761844).

The spelling of 105124340343 in words is "one hundred five billion, one hundred twenty-four million, three hundred forty thousand, three hundred forty-three".

Divisors: 1 3 11 31 33 43 93 129 341 409 473 1023 1227 1333 1419 3999 4499 5843 12679 13497 14663 17529 17587 38037 43989 52761 64273 139469 181133 192819 193457 251249 418407 543399 545197 580371 753747 1635591 1992463 2389787 2763739 5977389 5997167 7169361 7788719 8291217 17991501 23366157 26287657 74083397 78862971 85675909 102760841 222250191 257027727 308282523 814917367 1130369251 2444752101 3185586071 3391107753 9556758213 35041446781 105124340343