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105556005520 = 2457416175367
BaseRepresentation
bin110001001001110100…
…0001101001010010000
3101002110101020122222221
41202103220031022100
53212134314134040
6120254115310424
710424530146220
oct1422350151220
9332411218887
10105556005520
11408476822a9
121855a5ab414
139c52902184
145174cd6080
152b2bdbd74a
hex1893a0d290

105556005520 has 160 divisors (see below), whose sum is σ = 292032308736. Its totient is φ = 34728652800.

The previous prime is 105556005493. The next prime is 105556005557. The reversal of 105556005520 is 25500655501.

It is a super-2 number, since 2×1055560055202 (a number of 23 digits) contains 22 as substring.

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, 1362877 + ... + 1438243.

Almost surely, 2105556005520 is an apocalyptic number.

105556005520 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 105556005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016154368).

105556005520 is an abundant number, since it is smaller than the sum of its proper divisors (186476303216).

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

105556005520 is a wasteful number, since it uses less digits than its factorization.

105556005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75489 (or 75483 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

The spelling of 105556005520 in words is "one hundred five billion, five hundred fifty-six million, five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 61 70 80 82 112 122 140 164 205 244 280 287 305 328 410 427 488 560 574 610 656 820 854 976 1148 1220 1435 1640 1708 2135 2296 2440 2501 2870 3280 3416 4270 4592 4880 5002 5740 6832 8540 10004 11480 12505 17080 17507 20008 22960 25010 34160 35014 40016 50020 70028 75367 87535 100040 140056 150734 175070 200080 280112 301468 350140 376835 527569 602936 700280 753670 1055138 1205872 1400560 1507340 2110276 2637845 3014680 3090047 4220552 4597387 5275690 6029360 6180094 8441104 9194774 10551380 12360188 15450235 18389548 21102760 21630329 22986935 24720376 30900470 32181709 36779096 42205520 43260658 45973870 49440752 61800940 64363418 73558192 86521316 91947740 108151645 123601880 128726836 160908545 173042632 183895480 188492867 216303290 247203760 257453672 321817090 346085264 367790960 376985734 432606580 514907344 643634180 753971468 865213160 942464335 1287268360 1319450069 1507942936 1730426320 1884928670 2574536720 2638900138 3015885872 3769857340 5277800276 6597250345 7539714680 10555600552 13194500690 15079429360 21111201104 26389001380 52778002760 105556005520