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105060001106060 = 225711135247752303
BaseRepresentation
bin10111111000110100110000…
…000010111100100010001100
3111202222122020010002122200022
4113320310300002330202030
5102232300340240343220
61011235522003121312
731062222523656650
oct2770646002744214
9452878203078608
10105060001106060
11305257727967a0
12b9493b9973238
134681166c63960
141bd2d07258a60
15c22cb98b1925
hex5f8d300bc88c

105060001106060 has 96 divisors (see below), whose sum is σ = 296225122056192. Its totient is φ = 30227053259520.

The previous prime is 105060001106023. The next prime is 105060001106063. The reversal of 105060001106060 is 60601100060501.

It is a super-2 number, since 2×1050600011060602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (105060001106063) 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, 2623856132 + ... + 2623896171.

It is an arithmetic number, because the mean of its divisors is an integer number (3085678354752).

Almost surely, 2105060001106060 is an apocalyptic number.

105060001106060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105060001106060 is an abundant number, since it is smaller than the sum of its proper divisors (191165120950132).

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

105060001106060 is a wasteful number, since it uses less digits than its factorization.

105060001106060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247752343 (or 5247752341 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 105060001106060 its reverse (60601100060501), we get a palindrome (165661101166561).

The spelling of 105060001106060 in words is "one hundred five trillion, sixty billion, one million, one hundred six thousand, sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 5247752303 10495504606 20991009212 26238761515 36734266121 52477523030 57725275333 68220779939 73468532242 104955046060 115450550666 136441559878 146937064484 183671330605 230901101332 272883119756 288626376665 341103899695 367342661210 404076927331 477545459573 577252753330 682207799390 734685322420 750428579329 808153854662 955090919146 1154505506660 1364415598780 1500857158658 1616307709324 1910181838292 2020384636655 2387727297865 3001714317316 3752142896645 4040769273310 4775454595730 5253000055303 7504285793290 8081538546620 9550909191460 10506000110606 15008571586580 21012000221212 26265000276515 52530000553030 105060001106060