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105928485520 = 245111331298693
BaseRepresentation
bin110001010100111010…
…1000110101010010000
3101010102100010121111111
41202221311012222100
53213420143014040
6120355103023104
710440002161564
oct1425165065220
9333370117444
10105928485520
1140a18961010
121864329aa94
139cb1b29540
1451ac5756a4
152b4e947dea
hex18a9d46a90

105928485520 has 160 divisors (see below), whose sum is σ = 298674883584. Its totient is φ = 34409318400.

The previous prime is 105928485463. The next prime is 105928485527. The reversal of 105928485520 is 25584829501.

It is a super-2 number, since 2×1059284855202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105928485527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205294 + ... + 503986.

Almost surely, 2105928485520 is an apocalyptic number.

105928485520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105928485520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149337441792).

105928485520 is an abundant number, since it is smaller than the sum of its proper divisors (192746398064).

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

105928485520 is a wasteful number, since it uses less digits than its factorization.

105928485520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298761 (or 298755 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 49.

The spelling of 105928485520 in words is "one hundred five billion, nine hundred twenty-eight million, four hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 286 310 341 403 440 496 520 572 620 682 715 806 880 1040 1144 1240 1364 1430 1612 1705 2015 2288 2480 2728 2860 3224 3410 4030 4433 5456 5720 6448 6820 8060 8866 11440 13640 16120 17732 22165 27280 32240 35464 44330 70928 88660 177320 298693 354640 597386 1194772 1493465 2389544 2986930 3285623 3883009 4779088 5973860 6571246 7766018 9259483 11947720 13142492 15532036 16428115 18518966 19415045 23895440 26284984 31064072 32856230 37037932 38830090 42713099 46297415 52569968 62128144 65712460 74075864 77660180 85426198 92594830 101854313 120373279 131424920 148151728 155320360 170852396 185189660 203708626 213565495 240746558 262849840 310640720 341704792 370379320 407417252 427130990 481493116 509271565 601866395 683409584 740758640 814834504 854261980 962986232 1018543130 1203732790 1324106069 1629669008 1708523960 1925972464 2037086260 2407465580 2648212138 3417047920 4074172520 4814931160 5296424276 6620530345 8148345040 9629862320 10592848552 13241060690 21185697104 26482121380 52964242760 105928485520