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107342585 = 572438133
BaseRepresentation
bin1100110010111…
…10101011111001
321110222120100022
412121132223321
5204434430320
614352420225
72442253100
oct631365371
9243876308
10107342585
1155657089
122bb47675
131931492c
1410383037
159655325
hex665eaf9

107342585 has 12 divisors (see below), whose sum is σ = 149841828. Its totient is φ = 73606176.

The previous prime is 107342581. The next prime is 107342621. The reversal of 107342585 is 585243701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19882681 + 87459904 = 4459^2 + 9352^2 .

It is not a de Polignac number, because 107342585 - 22 = 107342581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107342581) 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, 218822 + ... + 219311.

It is an arithmetic number, because the mean of its divisors is an integer number (12486819).

Almost surely, 2107342585 is an apocalyptic number.

It is an amenable number.

107342585 is a deficient number, since it is larger than the sum of its proper divisors (42499243).

107342585 is an equidigital number, since it uses as much as digits as its factorization.

107342585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438152 (or 438145 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 107342585 is about 10360.6266702357. The cubic root of 107342585 is about 475.2520693495.

The spelling of 107342585 in words is "one hundred seven million, three hundred forty-two thousand, five hundred eighty-five".

Divisors: 1 5 7 35 49 245 438133 2190665 3066931 15334655 21468517 107342585