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106605309 = 3103345001
BaseRepresentation
bin1100101101010…
…10101011111101
321102121002222210
412112222223331
5204242332214
614324531033
72433062436
oct626525375
9242532883
10106605309
11551a3168
122b850a79
1319117185
141023048d
15955bb59
hex65aaafd

106605309 has 8 divisors (see below), whose sum is σ = 143520832. Its totient is φ = 70380000.

The previous prime is 106605307. The next prime is 106605319. The reversal of 106605309 is 903506601.

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 106605309 - 21 = 106605307 is a prime.

It is a super-2 number, since 2×1066053092 = 22729383813970962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106605307) 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 7 ways as a sum of consecutive naturals, for example, 172192 + ... + 172809.

It is an arithmetic number, because the mean of its divisors is an integer number (17940104).

Almost surely, 2106605309 is an apocalyptic number.

It is an amenable number.

106605309 is a deficient number, since it is larger than the sum of its proper divisors (36915523).

106605309 is a wasteful number, since it uses less digits than its factorization.

106605309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345107.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 106605309 is about 10324.9846973252. The cubic root of 106605309 is about 474.1614887097.

The spelling of 106605309 in words is "one hundred six million, six hundred five thousand, three hundred nine".

Divisors: 1 3 103 309 345001 1035003 35535103 106605309