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106605609 = 31131310321
BaseRepresentation
bin1100101101010…
…10110000101001
321102121010101220
412112222300221
5204242334414
614324532253
72433063345
oct626526051
9242533356
10106605609
11551a3410
122b851089
1319117356
1410230625
15955bca9
hex65aac29

106605609 has 16 divisors (see below), whose sum is σ = 155573184. Its totient is φ = 64396800.

The previous prime is 106605607. The next prime is 106605641. The reversal of 106605609 is 906506601.

It is not a de Polignac number, because 106605609 - 21 = 106605607 is a prime.

It is a super-2 number, since 2×1066056092 = 22729511740521762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 106605609.

It is not an unprimeable number, because it can be changed into a prime (106605607) 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 15 ways as a sum of consecutive naturals, for example, 5169 + ... + 15489.

It is an arithmetic number, because the mean of its divisors is an integer number (9723324).

Almost surely, 2106605609 is an apocalyptic number.

It is an amenable number.

106605609 is a deficient number, since it is larger than the sum of its proper divisors (48967575).

106605609 is a wasteful number, since it uses less digits than its factorization.

106605609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10648.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 106605609 is about 10324.9992251816. Note that the first 3 decimals coincide. The cubic root of 106605609 is about 474.1619334915.

The spelling of 106605609 in words is "one hundred six million, six hundred five thousand, six hundred nine".

Divisors: 1 3 11 33 313 939 3443 10321 10329 30963 113531 340593 3230473 9691419 35535203 106605609