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102107775868 = 227237911317761
BaseRepresentation
bin101111100011000011…
…0010000001101111100
3100202120001210110011121
41133012012100031330
53133104042311433
6114524020000324
710243216526440
oct1370606201574
9322501713147
10102107775868
113a3381a532a
12179578300a4
1398233c09b7
144d28d72820
1529c92dac2d
hex17c619037c

102107775868 has 96 divisors (see below), whose sum is σ = 217713807360. Its totient is φ = 40959959040.

The previous prime is 102107775859. The next prime is 102107775907. The reversal of 102107775868 is 868577701201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5740108 + ... + 5757868.

It is an arithmetic number, because the mean of its divisors is an integer number (2267852160).

Almost surely, 2102107775868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102107775868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108856903680).

102107775868 is an abundant number, since it is smaller than the sum of its proper divisors (115606031492).

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

102107775868 is a wasteful number, since it uses less digits than its factorization.

102107775868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17987 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 52.

The spelling of 102107775868 in words is "one hundred two billion, one hundred seven million, seven hundred seventy-five thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 79 92 113 158 161 226 316 322 452 553 644 791 1106 1582 1817 2212 2599 3164 3634 5198 7268 8927 10396 12719 17761 17854 18193 25438 35522 35708 36386 50876 62489 71044 72772 124327 124978 205321 248654 249956 408503 410642 497308 817006 821284 1403119 1437247 1634012 2006993 2806238 2859521 2874494 4013986 5612476 5719042 5748988 8027972 9821833 11438084 14048951 19643666 28097902 32271737 39287332 46160839 56195804 64543474 92321678 129086948 158552447 184643356 225902159 317104894 323125873 451804318 634209788 646251746 903608636 1109867129 1292503492 2219734258 3646706281 4439468516 7293412562 14586825124 25526943967 51053887934 102107775868