Search a number
-
+
106811585 = 531689107
BaseRepresentation
bin1100101110111…
…01000011000001
321102222120221122
412113131003001
5204320432320
614333202025
72434612016
oct627350301
9242876848
10106811585
1155324141
122b930315
131918a02a
141028570d
15959cd25
hex65dd0c1

106811585 has 8 divisors (see below), whose sum is σ = 132308736. Its totient is φ = 82692720.

The previous prime is 106811569. The next prime is 106811587. The reversal of 106811585 is 585118601.

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

It is not a de Polignac number, because 106811585 - 24 = 106811569 is a prime.

It is a super-2 number, since 2×1068115852 = 22817429380424450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106811587) 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 7 ways as a sum of consecutive naturals, for example, 344399 + ... + 344708.

It is an arithmetic number, because the mean of its divisors is an integer number (16538592).

Almost surely, 2106811585 is an apocalyptic number.

It is an amenable number.

106811585 is a deficient number, since it is larger than the sum of its proper divisors (25497151).

106811585 is an equidigital number, since it uses as much as digits as its factorization.

106811585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689143.

The product of its (nonzero) digits is 9600, while the sum is 35.

The square root of 106811585 is about 10334.9690372057. The cubic root of 106811585 is about 474.4671180111.

The spelling of 106811585 in words is "one hundred six million, eight hundred eleven thousand, five hundred eighty-five".

Divisors: 1 5 31 155 689107 3445535 21362317 106811585