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107436917 = 731215971
BaseRepresentation
bin1100110011101…
…01101101110101
321111011100202002
412121311231311
5210000440132
614354425045
72443125110
oct631655565
9244140662
10107436917
1155710a45
122bb92185
1319348853
14103a9577
159673262
hex6675b75

107436917 has 12 divisors (see below), whose sum is σ = 126881568. Its totient is φ = 89112600.

The previous prime is 107436913. The next prime is 107436929. The reversal of 107436917 is 719634701.

It is not a de Polignac number, because 107436917 - 22 = 107436913 is a prime.

It is a super-3 number, since 3×1074369173 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107436911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1259 + ... + 14712.

It is an arithmetic number, because the mean of its divisors is an integer number (10573464).

Almost surely, 2107436917 is an apocalyptic number.

It is an amenable number.

107436917 is a deficient number, since it is larger than the sum of its proper divisors (19444651).

107436917 is an equidigital number, since it uses as much as digits as its factorization.

107436917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16040 (or 16009 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 107436917 is about 10365.1780978428. The cubic root of 107436917 is about 475.3912447820.

The spelling of 107436917 in words is "one hundred seven million, four hundred thirty-six thousand, nine hundred seventeen".

Divisors: 1 7 31 217 961 6727 15971 111797 495101 3465707 15348131 107436917