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106366587664130 = 251731307123153407
BaseRepresentation
bin11000001011110101100110…
…101011000111011100000010
3111221121112202101012220222122
4120023311212223013130002
5102420202232420223010
61014120045155404242
731255506125322503
oct3013654653073402
9457545671186878
10106366587664130
11309898a8846502
12bb1a682bb3682
1347474317c7321
141c3a25549abaa
15c46c8bb84855
hex60bd66ac7702

106366587664130 has 128 divisors (see below), whose sum is σ = 210117743345664. Its totient is φ = 38593824537600.

The previous prime is 106366587664121. The next prime is 106366587664189. The reversal of 106366587664130 is 31466785663601.

It is a super-2 number, since 2×1063665876641302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1991595887 + ... + 1991649293.

It is an arithmetic number, because the mean of its divisors is an integer number (1641544869888).

Almost surely, 2106366587664130 is an apocalyptic number.

106366587664130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106366587664130 is a deficient number, since it is larger than the sum of its proper divisors (103751155681534).

106366587664130 is a wasteful number, since it uses less digits than its factorization.

106366587664130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55000.

The product of its (nonzero) digits is 78382080, while the sum is 62.

The spelling of 106366587664130 in words is "one hundred six trillion, three hundred sixty-six billion, five hundred eighty-seven million, six hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 17 31 34 62 85 155 170 307 310 527 614 1054 1231 1535 2462 2635 3070 5219 5270 6155 9517 10438 12310 19034 20927 26095 38161 41854 47585 52190 53407 76322 95170 104635 106814 161789 190805 209270 267035 323578 377917 381610 534070 648737 755834 808945 907919 1297474 1617890 1655617 1815838 1889585 3243685 3311234 3779170 4539595 6424589 6487370 8278085 9079190 11715427 12849178 16395949 16556170 23430854 28145489 32122945 32791898 56290978 58577135 64245890 65744017 81979745 117154270 131488034 140727445 163959490 199162259 278731133 281454890 328720085 398324518 508274419 557462266 657440170 995811295 1016548838 1117648289 1393655665 1991622590 2038064527 2235296578 2541372095 2787311330 4076129054 5082744190 5588241445 8640665123 10190322635 11176482890 17281330246 20183413219 20380645270 34647096959 40366826438 43203325615 69294193918 86406651230 100917066095 173235484795 201834132190 343118024723 346470969590 625685809789 686236049446 1251371619578 1715590123615 3128429048945 3431180247230 6256858097890 10636658766413 21273317532826 53183293832065 106366587664130