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105141855 = 357131723197
BaseRepresentation
bin1100100010001…
…01011001011111
321022211202111210
412101011121133
5203404014410
614233315503
72414456010
oct621053137
9238752453
10105141855
11543936a5
122b265b93
1318a24020
14dd6d007
15936d220
hex644565f

105141855 has 128 divisors (see below), whose sum is σ = 229920768. Its totient is φ = 39739392.

The previous prime is 105141853. The next prime is 105141859. The reversal of 105141855 is 558141501.

It is not a de Polignac number, because 105141855 - 21 = 105141853 is a prime.

It is a super-2 number, since 2×1051418552 = 22109619345682050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105141851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533617 + ... + 533813.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256).

Almost surely, 2105141855 is an apocalyptic number.

105141855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105141855 is an abundant number, since it is smaller than the sum of its proper divisors (124778913).

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

105141855 is a wasteful number, since it uses less digits than its factorization.

105141855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 4000, while the sum is 30.

The square root of 105141855 is about 10253.8702449368. The cubic root of 105141855 is about 471.9817559141.

The spelling of 105141855 in words is "one hundred five million, one hundred forty-one thousand, eight hundred fifty-five".

Divisors: 1 3 5 7 13 15 17 21 23 35 39 51 65 69 85 91 105 115 119 161 195 197 221 255 273 299 345 357 391 455 483 591 595 663 805 897 985 1105 1173 1365 1379 1495 1547 1785 1955 2093 2415 2561 2737 2955 3315 3349 4137 4485 4531 4641 5083 5865 6279 6895 7683 7735 8211 10047 10465 12805 13593 13685 15249 16745 17927 20685 22655 23205 23443 25415 31395 31717 35581 38415 41055 43537 50235 53781 58903 67965 70329 76245 77027 89635 95151 106743 117215 130611 158585 176709 177905 217685 231081 268905 294515 304759 351645 385135 412321 475755 533715 539189 653055 883545 914277 1001351 1155405 1236963 1523795 1617567 2061605 2695945 3004053 4571385 5006755 6184815 7009457 8087835 15020265 21028371 35047285 105141855