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106316163 = 32107113977
BaseRepresentation
bin1100101011001…
…00000110000011
321102001102100200
412111210012003
5204204104123
614314420243
72430446442
oct625440603
9242042320
10106316163
11550159a8
122b731683
1319045695
1410196d59
159501143
hex6564183

106316163 has 24 divisors (see below), whose sum is σ = 156534768. Its totient is φ = 69522432.

The previous prime is 106316159. The next prime is 106316183. The reversal of 106316163 is 361613601.

It is a happy number.

106316163 is a `hidden beast` number, since 10 + 6 + 31 + 616 + 3 = 666.

It is not a de Polignac number, because 106316163 - 22 = 106316159 is a prime.

It is a super-2 number, since 2×1063161632 = 22606253030085138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106316183) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 108331 + ... + 109307.

It is an arithmetic number, because the mean of its divisors is an integer number (6522282).

Almost surely, 2106316163 is an apocalyptic number.

106316163 is a deficient number, since it is larger than the sum of its proper divisors (50218605).

106316163 is a wasteful number, since it uses less digits than its factorization.

106316163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106316163 is about 10310.9729414833. The cubic root of 106316163 is about 473.7324105202.

Adding to 106316163 its reverse (361613601), we get a palindrome (467929764).

The spelling of 106316163 in words is "one hundred six million, three hundred sixteen thousand, one hundred sixty-three".

Divisors: 1 3 9 107 113 321 339 963 977 1017 2931 8793 12091 36273 104539 108819 110401 313617 331203 940851 993609 11812907 35438721 106316163