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106665660060 = 22359718327433
BaseRepresentation
bin110001101010111000…
…1001100111010011100
3101012022201020221212020
41203111301030322130
53221422402110220
6121000155140140
710464163102521
oct1432561147234
9335281227766
10106665660060
1141266a91173
121880a144650
13a09b7833ab
14523c429148
152b94510040
hex18d5c4ce9c

106665660060 has 48 divisors (see below), whose sum is σ = 301742873376. Its totient is φ = 28150935552.

The previous prime is 106665660029. The next prime is 106665660067. The reversal of 106665660060 is 60066566601.

It is a super-3 number, since 3×1066656600603 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106665659994 and 106665660021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106665660067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9157897 + ... + 9169536.

It is an arithmetic number, because the mean of its divisors is an integer number (6286309862).

Almost surely, 2106665660060 is an apocalyptic number.

106665660060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106665660060 is an abundant number, since it is smaller than the sum of its proper divisors (195077213316).

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

106665660060 is a wasteful number, since it uses less digits than its factorization.

106665660060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18327542 (or 18327540 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 106665660060 in words is "one hundred six billion, six hundred sixty-five million, six hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 18327433 36654866 54982299 73309732 91637165 109964598 183274330 219929196 274911495 366548660 549822990 1099645980 1777761001 3555522002 5333283003 7111044004 8888805005 10666566006 17777610010 21333132012 26666415015 35555220020 53332830030 106665660060