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106666505 = 5113173857
BaseRepresentation
bin1100101101110…
…01101000001001
321102201012221022
412112321220021
5204301312010
614330122225
72433436031
oct626715011
9242635838
10106666505
1155235140
122b880375
1319138c9a
14102488c1
15956ed55
hex65b9a09

106666505 has 32 divisors (see below), whose sum is σ = 146285568. Its totient is φ = 73958400.

The previous prime is 106666501. The next prime is 106666529. The reversal of 106666505 is 505666601.

It is not a de Polignac number, because 106666505 - 22 = 106666501 is a prime.

It is a super-2 number, since 2×1066665052 = 22755486577830050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106666501) 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, 124037 + ... + 124893.

It is an arithmetic number, because the mean of its divisors is an integer number (4571424).

Almost surely, 2106666505 is an apocalyptic number.

It is an amenable number.

106666505 is a deficient number, since it is larger than the sum of its proper divisors (39619063).

106666505 is a wasteful number, since it uses less digits than its factorization.

106666505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 106666505 is about 10327.9477632296. The cubic root of 106666505 is about 474.2522010023.

It can be divided in two parts, 10666 and 6505, that added together give a palindrome (17171).

The spelling of 106666505 in words is "one hundred six million, six hundred sixty-six thousand, five hundred five".

Divisors: 1 5 11 31 55 73 155 341 365 803 857 1705 2263 4015 4285 9427 11315 24893 26567 47135 62561 124465 132835 292237 312805 688171 1461185 1939391 3440855 9696955 21333301 106666505