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105120422524240 = 24519325143636217
BaseRepresentation
bin10111111001101101000001…
…011100010111010101010000
3111210012102011222122201111021
4113321231001130113111100
5102234243111131233430
61011323353323525224
731066462031363044
oct2771550134272520
9453172158581437
10105120422524240
1130549359038542
12b959060989814
134686a75ac11c6
141bd5bd9a8a024
15c2465410907a
hex5f9b41717550

105120422524240 has 160 divisors (see below), whose sum is σ = 246746314475136. Its totient is φ = 41647398912000.

The previous prime is 105120422524153. The next prime is 105120422524259. The reversal of 105120422524240 is 42425224021501.

It is a super-2 number, since 2×1051204225242402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105120422524196 and 105120422524205.

It is a congruent number.

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, 16908541612 + ... + 16908547828.

Almost surely, 2105120422524240 is an apocalyptic number.

105120422524240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105120422524240 is an abundant number, since it is smaller than the sum of its proper divisors (141625891950896).

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

105120422524240 is a wasteful number, since it uses less digits than its factorization.

105120422524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11037 (or 11031 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 105120422524240 its reverse (42425224021501), we get a palindrome (147545646545741).

The spelling of 105120422524240 in words is "one hundred five trillion, one hundred twenty billion, four hundred twenty-two million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 251 386 502 772 965 1004 1255 1544 1930 2008 2510 3088 3860 4016 4363 5020 6217 7720 8726 10040 12434 15440 17452 20080 21815 24868 31085 34904 43630 48443 49736 62170 69808 87260 96886 99472 124340 174520 193772 242215 248680 349040 387544 484430 497360 775088 842059 968860 1095113 1199881 1560467 1684118 1937720 2190226 2399762 3120934 3368236 3875440 4210295 4380452 4799524 5475565 5999405 6241868 6736472 7802335 8420590 8760904 9599048 10951130 11998810 12483736 13472944 15604670 16841180 17521808 19198096 21902260 23997620 24967472 27124771 31209340 33682360 43804520 47995240 54249542 62418680 67364720 87609040 95990480 108499084 124837360 135623855 211356809 216998168 271247710 301170131 422713618 433996336 542495420 602340262 845427236 1056784045 1084990840 1204680524 1505850655 1690854472 2113568090 2169981680 2409361048 3011701310 3381708944 4227136180 4818722096 5235080803 6023402620 6808317521 8454272360 10470161606 12046805240 13616635042 16908544720 20940323212 24093610480 26175404015 27233270084 34041587605 41880646424 52350808030 54466540168 68083175210 83761292848 104701616060 108933080336 136166350420 209403232120 272332700840 418806464240 544665401680 1314005281553 2628010563106 5256021126212 6570026407765 10512042252424 13140052815530 21024084504848 26280105631060 52560211262120 105120422524240