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107385168 = 24311203381
BaseRepresentation
bin1100110011010…
…01000101010000
321111001201202110
412121221011100
5204442311133
614353345320
72442521202
oct631510520
9244051673
10107385168
1155686080
122bb68240
131932b127
1410394772
159662c63
hex6669150

107385168 has 40 divisors (see below), whose sum is σ = 302632416. Its totient is φ = 32540800.

The previous prime is 107385167. The next prime is 107385203. The reversal of 107385168 is 861583701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107385163) 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 7 ways as a sum of consecutive naturals, for example, 101163 + ... + 102218.

Almost surely, 2107385168 is an apocalyptic number.

It is an amenable number.

107385168 is an abundant number, since it is smaller than the sum of its proper divisors (195247248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107385168 is a wasteful number, since it uses less digits than its factorization.

107385168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203403 (or 203397 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 107385168 is about 10362.6815062512. The cubic root of 107385168 is about 475.3149054965.

The spelling of 107385168 in words is "one hundred seven million, three hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 203381 406762 610143 813524 1220286 1627048 2237191 2440572 3254096 4474382 4881144 6711573 8948764 9762288 13423146 17897528 26846292 35795056 53692584 107385168