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105355343655 = 355792514373
BaseRepresentation
bin110001000011110101…
…0101111011100100111
3101001221101122222200000
41202013222233130213
53211231431444110
6120222150352343
710416542434212
oct1420752573447
9331841588600
10105355343655
1140754388051
121850335b6b3
139c20175843
1451563c0779
152b194831c0
hex1887aaf727

105355343655 has 96 divisors (see below), whose sum is σ = 192584770560. Its totient is φ = 55244592000.

The previous prime is 105355343647. The next prime is 105355343657. The reversal of 105355343655 is 556343553501.

105355343655 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 553 + 43 + 6 + 55 = 666.

It is not a de Polignac number, because 105355343655 - 23 = 105355343647 is a prime.

It is a super-2 number, since 2×1053553436552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105355343655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355343657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24090049 + ... + 24094421.

It is an arithmetic number, because the mean of its divisors is an integer number (2006091360).

Almost surely, 2105355343655 is an apocalyptic number.

105355343655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105355343655 is a deficient number, since it is larger than the sum of its proper divisors (87229426905).

105355343655 is an equidigital number, since it uses as much as digits as its factorization.

105355343655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 105355343655 in words is "one hundred five billion, three hundred fifty-five million, three hundred forty-three thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 79 81 135 237 243 251 395 405 711 753 1185 1215 1255 2133 2259 3555 3765 4373 6399 6777 10665 11295 13119 19197 19829 20331 21865 31995 33885 39357 59487 60993 65595 95985 99145 101655 118071 178461 196785 297435 304965 345467 354213 535383 590355 892305 1036401 1062639 1097623 1606149 1727335 1771065 2676915 3109203 3292869 4818447 5182005 5313195 5488115 8030745 9327609 9878607 15546015 16464345 24092235 27982827 29635821 46638045 49393035 83948481 86712217 88907463 139914135 148179105 260136651 266722389 419742405 433561085 444537315 780409953 1300683255 1333611945 2341229859 3902049765 7023689577 11706149295 21071068731 35118447885 105355343655