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135060105 = 3529714373
BaseRepresentation
bin10000000110011…
…01101010001001
3100102010202122010
420003031222021
5234033410410
621222450133
73226664145
oct1003155211
9312122563
10135060105
116a268724
1239293949
1321c9aa2b
1413d1a225
15bcccc20
hex80cda89

135060105 has 32 divisors (see below), whose sum is σ = 226748160. Its totient is φ = 68552960.

The previous prime is 135060097. The next prime is 135060137. The reversal of 135060105 is 501060531.

It is a happy number.

It is not a de Polignac number, because 135060105 - 23 = 135060097 is a prime.

It is a super-3 number, since 3×1350601053 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28699 + ... + 33071.

It is an arithmetic number, because the mean of its divisors is an integer number (7085880).

Almost surely, 2135060105 is an apocalyptic number.

135060105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135060105 is a deficient number, since it is larger than the sum of its proper divisors (91688055).

135060105 is a wasteful number, since it uses less digits than its factorization.

135060105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 135060105 is about 11621.5362581717. The cubic root of 135060105 is about 513.0689046364.

The spelling of 135060105 in words is "one hundred thirty-five million, sixty thousand, one hundred five".

Divisors: 1 3 5 15 29 71 87 145 213 355 435 1065 2059 4373 6177 10295 13119 21865 30885 65595 126817 310483 380451 634085 931449 1552415 1902255 4657245 9004007 27012021 45020035 135060105