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66115105 = 5759101317
BaseRepresentation
bin1111110000110…
…1011000100001
311121101222212121
43330031120201
5113411140410
610321024241
71431653260
oct374153041
9147358777
1066115105
1134358291
121a185081
131090b484
148ad05d7
155c0e9da
hex3f0d621

66115105 has 32 divisors (see below), whose sum is σ = 93415680. Its totient is φ = 43987200.

The previous prime is 66115097. The next prime is 66115109. The reversal of 66115105 is 50151166.

66115105 = T238 + T239 + ... + T742.

66115105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66115105 - 23 = 66115097 is a prime.

It is a super-2 number, since 2×661151052 = 8742414218322050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66115105.

It is not an unprimeable number, because it can be changed into a prime (66115109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208407 + ... + 208723.

It is an arithmetic number, because the mean of its divisors is an integer number (2919240).

Almost surely, 266115105 is an apocalyptic number.

It is an amenable number.

66115105 is a deficient number, since it is larger than the sum of its proper divisors (27300575).

66115105 is a wasteful number, since it uses less digits than its factorization.

66115105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 66115105 is about 8131.1195416130. The cubic root of 66115105 is about 404.3587984132.

The spelling of 66115105 in words is "sixty-six million, one hundred fifteen thousand, one hundred five".

Divisors: 1 5 7 35 59 101 295 317 413 505 707 1585 2065 2219 3535 5959 11095 18703 29795 32017 41713 93515 130921 160085 208565 224119 654605 1120595 1889003 9445015 13223021 66115105