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106160160010600 = 23523714345967569
BaseRepresentation
bin11000001000110101010110…
…101000000111000101101000
3111220212210221002011121110101
4120020311112220013011220
5102403312001430314400
61013441145414355144
731234550505242023
oct3010652650070550
9456783832147411
10106160160010600
113090a2a8811053
12baa667295bab4
134730b24937b87
141c302718881ba
15c417092a056a
hex608d56a07168

106160160010600 has 48 divisors (see below), whose sum is σ = 253493246961900. Its totient is φ = 41316386595840.

The previous prime is 106160160010589. The next prime is 106160160010609. The reversal of 106160160010600 is 6010061061601.

It can be written as a sum of positive squares in 6 ways, for example, as 41169701315044 + 64990458695556 = 6416362^2 + 8061666^2 .

It is a super-2 number, since 2×1061601600106002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106160160010609) 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 11 ways as a sum of consecutive naturals, for example, 7172976385 + ... + 7172991184.

Almost surely, 2106160160010600 is an apocalyptic number.

106160160010600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106160160010600 is an abundant number, since it is smaller than the sum of its proper divisors (147333086951300).

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

106160160010600 is a wasteful number, since it uses less digits than its factorization.

106160160010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345967622 (or 14345967613 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 106160160010600 in words is "one hundred six trillion, one hundred sixty billion, one hundred sixty million, ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 14345967569 28691935138 57383870276 71729837845 114767740552 143459675690 286919351380 358649189225 530800800053 573838702760 717298378450 1061601600106 1434596756900 2123203200212 2654004000265 2869193513800 4246406400424 5308008000530 10616016001060 13270020001325 21232032002120 26540040002650 53080080005300 106160160010600