Search a number
-
+
107017585 = 541522037
BaseRepresentation
bin1100110000011…
…11010101110001
321110101001112021
412120033111301
5204344030320
614341431441
72436430423
oct630172561
9243331467
10107017585
1155454994
122ba0b581
131922ca1c
14102da813
1595dddaa
hex660f571

107017585 has 8 divisors (see below), whose sum is σ = 131553576. Its totient is φ = 83525760.

The previous prime is 107017577. The next prime is 107017609. The reversal of 107017585 is 585710701.

It can be written as a sum of positive squares in 4 ways, for example, as 2405601 + 104611984 = 1551^2 + 10228^2 .

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

It is not a de Polignac number, because 107017585 - 23 = 107017577 is a prime.

It is a super-2 number, since 2×1070175852 = 22905526998464450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107017585.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260814 + ... + 261223.

It is an arithmetic number, because the mean of its divisors is an integer number (16444197).

Almost surely, 2107017585 is an apocalyptic number.

It is an amenable number.

107017585 is a deficient number, since it is larger than the sum of its proper divisors (24535991).

107017585 is an equidigital number, since it uses as much as digits as its factorization.

107017585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522083.

The product of its (nonzero) digits is 9800, while the sum is 34.

The square root of 107017585 is about 10344.9304009259. The cubic root of 107017585 is about 474.7719459273.

The spelling of 107017585 in words is "one hundred seven million, seventeen thousand, five hundred eighty-five".

Divisors: 1 5 41 205 522037 2610185 21403517 107017585