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106082585 = 573030931
BaseRepresentation
bin1100101001010…
…11000100011001
321101121112221122
412110223010121
5204124120320
614305415025
72425454450
oct624530431
9241545848
10106082585
1154976464
122b63a475
1318c9327b
1410135b97
1594a6d25
hex652b119

106082585 has 8 divisors (see below), whose sum is σ = 145484736. Its totient is φ = 72742320.

The previous prime is 106082573. The next prime is 106082593. The reversal of 106082585 is 585280601.

It is a happy number.

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

It is not a de Polignac number, because 106082585 - 24 = 106082569 is a prime.

It is a super-2 number, since 2×1060825852 = 22507029680564450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 3030931 = 106082585 / (1 + 0 + 6 + 0 + 8 + 2 + 5 + 8 + 5).

It is a Duffinian number.

It is a Curzon number.

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, 1515431 + ... + 1515500.

It is an arithmetic number, because the mean of its divisors is an integer number (18185592).

Almost surely, 2106082585 is an apocalyptic number.

It is an amenable number.

106082585 is a deficient number, since it is larger than the sum of its proper divisors (39402151).

106082585 is an equidigital number, since it uses as much as digits as its factorization.

106082585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030943.

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 106082585 is about 10299.6400422539. The cubic root of 106082585 is about 473.3852240385.

The spelling of 106082585 in words is "one hundred six million, eighty-two thousand, five hundred eighty-five".

Divisors: 1 5 7 35 3030931 15154655 21216517 106082585