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106000565 = 5114334451
BaseRepresentation
bin1100101000101…
…11000010110101
321101110101102212
412110113002311
5204114004230
614303543205
72424663356
oct624270265
9241411385
10106000565
115491a880
122b5bab05
1318c64b38
1410113d2d
15948c895
hex65170b5

106000565 has 16 divisors (see below), whose sum is σ = 139116096. Its totient is φ = 76896000.

The previous prime is 106000561. The next prime is 106000567. The reversal of 106000565 is 565000601.

It is not a de Polignac number, because 106000565 - 22 = 106000561 is a prime.

It is a super-2 number, since 2×1060005652 = 22472239560638450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106000565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000561) 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 15 ways as a sum of consecutive naturals, for example, 21590 + ... + 26040.

It is an arithmetic number, because the mean of its divisors is an integer number (8694756).

Almost surely, 2106000565 is an apocalyptic number.

It is an amenable number.

106000565 is a deficient number, since it is larger than the sum of its proper divisors (33115531).

106000565 is a wasteful number, since it uses less digits than its factorization.

106000565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 106000565 is about 10295.6575797760. The cubic root of 106000565 is about 473.2631899740.

The spelling of 106000565 in words is "one hundred six million, five hundred sixty-five", and thus it is an aban number.

Divisors: 1 5 11 55 433 2165 4451 4763 22255 23815 48961 244805 1927283 9636415 21200113 106000565