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107683345 = 5711247541
BaseRepresentation
bin1100110101100…
…01111000010001
321111121212210001
412122301320101
5210031331340
614404010001
72445202420
oct632617021
9244555701
10107683345
115586a100
1230090901
1319403a73
14104312b7
1596c129a
hex66b1e11

107683345 has 48 divisors (see below), whose sum is σ = 166086144. Its totient is φ = 65577600.

The previous prime is 107683313. The next prime is 107683349. The reversal of 107683345 is 543386701.

It is not a de Polignac number, because 107683345 - 25 = 107683313 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107683349) 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 47 ways as a sum of consecutive naturals, for example, 198775 + ... + 199315.

It is an arithmetic number, because the mean of its divisors is an integer number (3460128).

Almost surely, 2107683345 is an apocalyptic number.

It is an amenable number.

107683345 is a deficient number, since it is larger than the sum of its proper divisors (58402799).

107683345 is a wasteful number, since it uses less digits than its factorization.

107683345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 107683345 is about 10377.0585909496. The cubic root of 107683345 is about 475.7544354560.

The spelling of 107683345 in words is "one hundred seven million, six hundred eighty-three thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 47 55 77 121 235 329 385 517 541 605 847 1645 2585 2705 3619 3787 4235 5687 5951 18095 18935 25427 28435 29755 39809 41657 65461 127135 177989 199045 208285 279697 327305 458227 889945 1398485 1957879 2291135 3076667 9789395 15383335 21536669 107683345