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106055047835660 = 22572119838130597
BaseRepresentation
bin11000000111010011011101…
…011100111111000000001100
3111220111202121122001212120002
4120013103131130333000030
5102400101214221220120
61013321003311543432
731224136644425300
oct3007233534770014
9456452548055502
10106055047835660
1130879769721290
12ba8a218b2ab78
134723c42c82561
141c2913d8c5d00
15c3db06352375
hex6074dd73f00c

106055047835660 has 72 divisors (see below), whose sum is σ = 282629815819344. Its totient is φ = 33056118802560.

The previous prime is 106055047835657. The next prime is 106055047835729. The reversal of 106055047835660 is 66538740550601.

It is a super-2 number, since 2×1060550478356602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106055047835596 and 106055047835605.

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 23 ways as a sum of consecutive naturals, for example, 4919054519 + ... + 4919076078.

It is an arithmetic number, because the mean of its divisors is an integer number (3925414108602).

Almost surely, 2106055047835660 is an apocalyptic number.

106055047835660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106055047835660 is an abundant number, since it is smaller than the sum of its proper divisors (176574767983684).

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

106055047835660 is a wasteful number, since it uses less digits than its factorization.

106055047835660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838130631 (or 9838130622 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 56.

The spelling of 106055047835660 in words is "one hundred six trillion, fifty-five billion, forty-seven million, eight hundred thirty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 9838130597 19676261194 39352522388 49190652985 68866914179 98381305970 108219436567 137733828358 196762611940 216438873134 275467656716 344334570895 432877746268 482068399253 541097182835 688669141790 757536055969 964136798506 1082194365670 1377338283580 1515072111938 1928273597012 2164388731340 2410341996265 3030144223876 3787680279845 4820683992530 5302752391783 7575360559690 9641367985060 10605504783566 15150721119380 21211009567132 26513761958915 53027523917830 106055047835660