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103344557105706 = 23723531187838909
BaseRepresentation
bin10111011111110111000111…
…100111011010001000101010
3111112220122100212120022210020
4113133313013213122020222
5102021144123104340311
61003443500100501310
730524253315364200
oct2737670747321052
9445818325508706
10103344557105706
112aa241a9332154
12b710a4b0aa836
134588471a06247
141b73c9074b070
15be33682c7c06
hex5dfdc79da22a

103344557105706 has 96 divisors (see below), whose sum is σ = 241318810370880. Its totient is φ = 29418530448384.

The previous prime is 103344557105687. The next prime is 103344557105707. The reversal of 103344557105706 is 607501755443301.

It is not an unprimeable number, because it can be changed into a prime (103344557105707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122769780 + ... + 123608688.

It is an arithmetic number, because the mean of its divisors is an integer number (2513737608030).

Almost surely, 2103344557105706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103344557105706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120659405185440).

103344557105706 is an abundant number, since it is smaller than the sum of its proper divisors (137974253265174).

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

103344557105706 is a wasteful number, since it uses less digits than its factorization.

103344557105706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840468 (or 840461 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 51.

The spelling of 103344557105706 in words is "one hundred three trillion, three hundred forty-four billion, five hundred fifty-seven million, one hundred five thousand, seven hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 353 706 1059 1187 2118 2374 2471 3561 4942 7122 7413 8309 14826 16618 17297 24927 34594 49854 51891 58163 103782 116326 174489 348978 419011 838022 838909 1257033 1677818 2514066 2516727 2933077 5033454 5866154 5872363 8799231 11744726 17598462 17617089 20531539 35234178 41063078 41106541 61594617 82213082 123189234 123319623 246639246 296134877 592269754 888404631 995784983 1776809262 1991569966 2072944139 2987354949 4145888278 5974709898 6218832417 6970494881 12437664834 13940989762 14510608973 20911484643 29021217946 41822969286 43531826919 48793464167 87063653838 97586928334 146380392501 292760785002 351512098999 703024197998 1054536296997 2109072593994 2460584692993 4921169385986 7381754078979 14763508157958 17224092850951 34448185701902 51672278552853 103344557105706