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105668875893 = 37171042728387
BaseRepresentation
bin110001001101001011…
…0110001011001110101
3101002202020122002001010
41202122112301121311
53212402213012033
6120313230422433
710430400424320
oct1423226613165
9332666562033
10105668875893
11408a53644a9
1218590361a19
139c70100b89
145185cb77b7
152b36c66863
hex189a5b1675

105668875893 has 32 divisors (see below), whose sum is σ = 170513316864. Its totient is φ = 56822867712.

The previous prime is 105668875883. The next prime is 105668875933. The reversal of 105668875893 is 398578866501.

It is not a de Polignac number, because 105668875893 - 212 = 105668871797 is a prime.

It is a super-2 number, since 2×1056688758932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105668875843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3708246 + ... + 3736632.

It is an arithmetic number, because the mean of its divisors is an integer number (5328541152).

Almost surely, 2105668875893 is an apocalyptic number.

It is an amenable number.

105668875893 is a deficient number, since it is larger than the sum of its proper divisors (64844440971).

105668875893 is a wasteful number, since it uses less digits than its factorization.

105668875893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38841.

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 105668875893 in words is "one hundred five billion, six hundred sixty-eight million, eight hundred seventy-five thousand, eight hundred ninety-three".

Divisors: 1 3 7 17 21 51 119 357 10427 28387 31281 72989 85161 177259 198709 218967 482579 531777 596127 1240813 1447737 3378053 3722439 10134159 295991249 887973747 2071938743 5031851233 6215816229 15095553699 35222958631 105668875893