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106065505 = 57131912269
BaseRepresentation
bin1100101001001…
…10111001100001
321101120200112001
412110212321201
5204123044010
614305204001
72425353610
oct624467141
9241520461
10106065505
1154964647
122b630601
1318c88570
141012d877
1594a1c3a
hex6526e61

106065505 has 32 divisors (see below), whose sum is σ = 164908800. Its totient is φ = 63597312.

The previous prime is 106065481. The next prime is 106065517. The reversal of 106065505 is 505560601.

It is a cyclic number.

It is not a de Polignac number, because 106065505 - 213 = 106057313 is a prime.

It is a super-2 number, since 2×1060655052 = 22499782701810050, which contains 22 as substring.

It is an unprimeable number.

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, 2511 + ... + 14779.

It is an arithmetic number, because the mean of its divisors is an integer number (5153400).

Almost surely, 2106065505 is an apocalyptic number.

It is an amenable number.

106065505 is a deficient number, since it is larger than the sum of its proper divisors (58843295).

106065505 is a wasteful number, since it uses less digits than its factorization.

106065505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12313.

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 106065505 is about 10298.8108536860. The cubic root of 106065505 is about 473.3598166209.

The spelling of 106065505 in words is "one hundred six million, sixty-five thousand, five hundred five".

Divisors: 1 5 7 13 19 35 65 91 95 133 247 455 665 1235 1729 8645 12269 61345 85883 159497 233111 429415 797485 1116479 1165555 1631777 3030443 5582395 8158885 15152215 21213101 106065505