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105505500060 = 22325586141667
BaseRepresentation
bin110001001000010011…
…1100010101110011100
3101002022212012201112100
41202100213202232130
53212033402000220
6120245113005100
710423344645042
oct1422047425634
9332285181470
10105505500060
1140821116854
12185456b3790
139c452ca99c
14516c30a392
152b27743d90
hex18909e2b9c

105505500060 has 36 divisors (see below), whose sum is σ = 320033350728. Its totient is φ = 28134799968.

The previous prime is 105505500017. The next prime is 105505500103. The reversal of 105505500060 is 60005505501.

105505500060 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 550 + 0 + 0 + 60 = 666.

105505500060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105505500017) and next prime (105505500103).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1055055000602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505499997 and 105505500033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293070654 + ... + 293071013.

It is an arithmetic number, because the mean of its divisors is an integer number (8889815298).

Almost surely, 2105505500060 is an apocalyptic number.

105505500060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505500060 is an abundant number, since it is smaller than the sum of its proper divisors (214527850668).

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

105505500060 is a wasteful number, since it uses less digits than its factorization.

105505500060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586141682 (or 586141677 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 105505500060 in words is "one hundred five billion, five hundred five million, five hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 586141667 1172283334 1758425001 2344566668 2930708335 3516850002 5275275003 5861416670 7033700004 8792125005 10550550006 11722833340 17584250010 21101100012 26376375015 35168500020 52752750030 105505500060