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105675512243 = 725922332659
BaseRepresentation
bin110001001101011000…
…0000101100110110011
3101002202201010020101212
41202122300011212303
53212410412342433
6120314024550335
710430511014300
oct1423260054663
9332681106355
10105675512243
11408a9087494
12185926223ab
139c715b5702
145186b240a7
152b37627d48
hex189ac059b3

105675512243 has 36 divisors (see below), whose sum is σ = 125631422280. Its totient is φ = 88628266944.

The previous prime is 105675512231. The next prime is 105675512281. The reversal of 105675512243 is 342215576501.

It is not a de Polignac number, because 105675512243 - 28 = 105675511987 is a prime.

It is a super-2 number, since 2×1056755122432 (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 105675512243.

It is not an unprimeable number, because it can be changed into a prime (105675542243) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 39741248 + ... + 39743906.

It is an arithmetic number, because the mean of its divisors is an integer number (3489761730).

Almost surely, 2105675512243 is an apocalyptic number.

105675512243 is a deficient number, since it is larger than the sum of its proper divisors (19955910037).

105675512243 is an equidigital number, since it uses as much as digits as its factorization.

105675512243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 105675512243 in words is "one hundred five billion, six hundred seventy-five million, five hundred twelve thousand, two hundred forty-three".

Divisors: 1 7 49 59 233 413 1631 2659 2891 3481 11417 13747 18613 24367 96229 130291 156881 170569 619547 673603 811073 1098167 4336829 5677511 7687169 9255979 30357803 36553273 39742577 64791853 255872911 453542971 1791110377 2156643107 15096501749 105675512243