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107106585 = 357140439
BaseRepresentation
bin1100110001001…
…01000100011001
321110112120121120
412120211010121
5204404402320
614343355453
72440251045
oct630450431
9243476546
10107106585
1155505843
122ba52b89
13192613a1
1410321025
15960a440
hex6625119

107106585 has 8 divisors (see below), whose sum is σ = 171370560. Its totient is φ = 57123504.

The previous prime is 107106583. The next prime is 107106641. The reversal of 107106585 is 585601701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 107106585 - 21 = 107106583 is a prime.

It is a super-2 number, since 2×1071065852 = 22943641100724450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107106583) 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, 3570205 + ... + 3570234.

It is an arithmetic number, because the mean of its divisors is an integer number (21421320).

Almost surely, 2107106585 is an apocalyptic number.

107106585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107106585 is a deficient number, since it is larger than the sum of its proper divisors (64263975).

107106585 is an equidigital number, since it uses as much as digits as its factorization.

107106585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140447.

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 107106585 is about 10349.2311308618. The cubic root of 107106585 is about 474.9035224186.

The spelling of 107106585 in words is "one hundred seven million, one hundred six thousand, five hundred eighty-five".

Divisors: 1 3 5 15 7140439 21421317 35702195 107106585