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105503053512610 = 2513171791158723017
BaseRepresentation
bin10111111111010001011000…
…000001101111111110100010
3111211112222211012100212210001
4113333101120001233332202
5102312030223144400420
61012215233401530214
731136226006204145
oct2777213001577642
9454488735325701
10105503053512610
1130686659281376
12b9bb2471a396a
1346b3b83b57670
141c0a53715405c
15c2e59ac38b0a
hex5ff45806ffa2

105503053512610 has 128 divisors (see below), whose sum is σ = 217781820184320. Its totient is φ = 36453950152704.

The previous prime is 105503053512581. The next prime is 105503053512613. The reversal of 105503053512610 is 16215350305501.

It is a super-2 number, since 2×1055030535126102 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105503053512610.

It is not an unprimeable number, because it can be changed into a prime (105503053512613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4583689822 + ... + 4583712838.

It is an arithmetic number, because the mean of its divisors is an integer number (1701420470190).

Almost surely, 2105503053512610 is an apocalyptic number.

105503053512610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105503053512610 is an abundant number, since it is smaller than the sum of its proper divisors (112278766671710).

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

105503053512610 is a wasteful number, since it uses less digits than its factorization.

105503053512610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34820.

The product of its (nonzero) digits is 67500, while the sum is 37.

The spelling of 105503053512610 in words is "one hundred five trillion, five hundred three billion, fifty-three million, five hundred twelve thousand, six hundred ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 179 221 358 442 895 1105 1790 2210 2327 3043 4654 6086 11587 11635 15215 23017 23174 23270 30430 39559 46034 57935 79118 115085 115870 150631 196979 197795 230170 299221 301262 391289 393958 395590 598442 753155 782578 984895 1496105 1506310 1956445 1969790 2074073 2560727 2992210 3912890 4120043 4148146 5086757 5121454 8240086 10173514 10370365 12803635 20600215 20740730 25433785 25607270 26962949 35259241 41200430 50867570 53560559 53925898 70040731 70518482 107121118 134814745 140081462 176296205 266697979 267802795 269629490 350203655 352592410 458370133 533395958 535605590 700407310 910529503 916740266 1333489895 1821059006 2291850665 2666979790 3467073727 4533865643 4552647515 4583701330 6934147454 9067731286 9105295030 17335368635 22669328215 34670737270 45338656430 47738938241 58940253359 95477876482 117880506718 238694691205 294701266795 477389382410 589402533590 620606197133 811561950097 1241212394266 1623123900194 3103030985665 4057809750485 6206061971330 8115619500970 10550305351261 21100610702522 52751526756305 105503053512610