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66105105 = 35112317419
BaseRepresentation
bin1111110000101…
…0111100010001
311121101111011020
43330022330101
5113410330410
610320510053
71431612153
oct374127421
9147344136
1066105105
1134350820
121a17b329
1310906a61
148acaad3
155c0ba70
hex3f0af11

66105105 has 32 divisors (see below), whose sum is σ = 120407040. Its totient is φ = 30655680.

The previous prime is 66105097. The next prime is 66105107. The reversal of 66105105 is 50150166.

It is not a de Polignac number, because 66105105 - 23 = 66105097 is a prime.

It is a super-2 number, since 2×661051052 = 8739769814122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66105107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4915 + ... + 12504.

It is an arithmetic number, because the mean of its divisors is an integer number (3762720).

Almost surely, 266105105 is an apocalyptic number.

It is an amenable number.

66105105 is a deficient number, since it is larger than the sum of its proper divisors (54301935).

66105105 is a wasteful number, since it uses less digits than its factorization.

66105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17461.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 66105105 is about 8130.5045968870. The cubic root of 66105105 is about 404.3384107783.

The spelling of 66105105 in words is "sixty-six million, one hundred five thousand, one hundred five".

Divisors: 1 3 5 11 15 23 33 55 69 115 165 253 345 759 1265 3795 17419 52257 87095 191609 261285 400637 574827 958045 1201911 2003185 2874135 4407007 6009555 13221021 22035035 66105105