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106706907 = 3219232843
BaseRepresentation
bin1100101110000…
…11011111011011
321102210021100200
412113003133123
5204304110112
614331033243
72433664566
oct627033733
9242707320
10106706907
115526252a
122b89b823
13191514a8
14102594dd
15957bcdc
hex65c37db

106706907 has 18 divisors (see below), whose sum is σ = 162676332. Its totient is φ = 67391784.

The previous prime is 106706903. The next prime is 106706911. The reversal of 106706907 is 709607601.

It is an interprime number because it is at equal distance from previous prime (106706903) and next prime (106706911).

It is not a de Polignac number, because 106706907 - 22 = 106706903 is a prime.

It is a super-2 number, since 2×1067069072 = 22772728003013298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106706903) 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 17 ways as a sum of consecutive naturals, for example, 13173 + ... + 19670.

It is an arithmetic number, because the mean of its divisors is an integer number (9037574).

Almost surely, 2106706907 is an apocalyptic number.

106706907 is a deficient number, since it is larger than the sum of its proper divisors (55969425).

106706907 is a wasteful number, since it uses less digits than its factorization.

106706907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32887 (or 32865 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 106706907 is about 10329.9035329474. The cubic root of 106706907 is about 474.3120708392.

The spelling of 106706907 in words is "one hundred six million, seven hundred six thousand, nine hundred seven".

Divisors: 1 3 9 19 57 171 361 1083 3249 32843 98529 295587 624017 1872051 5616153 11856323 35568969 106706907