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106006065 = 35111016361
BaseRepresentation
bin1100101000110…
…00011000110001
321101110122222120
412110120120301
5204114143230
614304024453
72425015404
oct624303061
9241418876
10106006065
1154923a20
122b602129
1318c674a9
1410115d3b
15948e310
hex6518631

106006065 has 32 divisors (see below), whose sum is σ = 186890112. Its totient is φ = 50880000.

The previous prime is 106006037. The next prime is 106006093. The reversal of 106006065 is 560600601.

It is an interprime number because it is at equal distance from previous prime (106006037) and next prime (106006093).

It is not a de Polignac number, because 106006065 - 27 = 106005937 is a prime.

It is a super-2 number, since 2×1060060652 = 22474571633568450, which contains 22 as substring.

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, 13485 + ... + 19845.

It is an arithmetic number, because the mean of its divisors is an integer number (5840316).

Almost surely, 2106006065 is an apocalyptic number.

106006065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106006065 is a deficient number, since it is larger than the sum of its proper divisors (80884047).

106006065 is a wasteful number, since it uses less digits than its factorization.

106006065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106006065 is about 10295.9246792117. The cubic root of 106006065 is about 473.2713751585.

Adding to 106006065 its reverse (560600601), we get a palindrome (666606666).

The spelling of 106006065 in words is "one hundred six million, six thousand, sixty-five".

Divisors: 1 3 5 11 15 33 55 101 165 303 505 1111 1515 3333 5555 6361 16665 19083 31805 69971 95415 209913 349855 642461 1049565 1927383 3212305 7067071 9636915 21201213 35335355 106006065