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106382005 = 51729103419
BaseRepresentation
bin1100101011101…
…00001010110101
321102011202200021
412111310022311
5204213211010
614320045141
72431142422
oct625641265
9242152607
10106382005
1155060414
122b7637b1
1319069642
14101b2d49
1595158da
hex65742b5

106382005 has 32 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 76403712.

The previous prime is 106381999. The next prime is 106382011. The reversal of 106382005 is 500283601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106381999) and next prime (106382011).

It is not a de Polignac number, because 106382005 - 25 = 106381973 is a prime.

It is a super-2 number, since 2×1063820052 = 22634261975640050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253686 + ... + 254104.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2106382005 is an apocalyptic number.

It is an amenable number.

106382005 is a deficient number, since it is larger than the sum of its proper divisors (35141195).

106382005 is a wasteful number, since it uses less digits than its factorization.

106382005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 106382005 is about 10314.1652594866. The cubic root of 106382005 is about 473.8301850940.

The spelling of 106382005 in words is "one hundred six million, three hundred eighty-two thousand, five".

Divisors: 1 5 17 29 85 103 145 419 493 515 1751 2095 2465 2987 7123 8755 12151 14935 35615 43157 50779 60755 206567 215785 253895 733669 1032835 1251553 3668345 6257765 21276401 106382005