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106306197 = 3192103953
BaseRepresentation
bin1100101011000…
…01101010010101
321102000220200120
412111201222111
5204203244242
614314302153
72430405414
oct625415225
9242026616
10106306197
1155009468
122b727959
1319040c9a
141019347b
1594ed1ec
hex6561a95

106306197 has 24 divisors (see below), whose sum is σ = 151205184. Its totient is φ = 66419136.

The previous prime is 106306171. The next prime is 106306201. The reversal of 106306197 is 791603601.

It is not a de Polignac number, because 106306197 - 26 = 106306133 is a prime.

It is a super-2 number, since 2×1063061972 = 22602015041205618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106306147) 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 23 ways as a sum of consecutive naturals, for example, 111073 + ... + 112025.

It is an arithmetic number, because the mean of its divisors is an integer number (6300216).

Almost surely, 2106306197 is an apocalyptic number.

It is an amenable number.

106306197 is a deficient number, since it is larger than the sum of its proper divisors (44898987).

106306197 is a wasteful number, since it uses less digits than its factorization.

106306197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 106306197 is about 10310.4896585953. The cubic root of 106306197 is about 473.7176076134.

Adding to 106306197 its reverse (791603601), we get a palindrome (897909798).

The spelling of 106306197 in words is "one hundred six million, three hundred six thousand, one hundred ninety-seven".

Divisors: 1 3 19 57 103 309 361 953 1083 1957 2859 5871 18107 37183 54321 98159 111549 294477 344033 1032099 1865021 5595063 35435399 106306197