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106605305 = 529735209
BaseRepresentation
bin1100101101010…
…10101011111001
321102121002222122
412112222223321
5204242332210
614324531025
72433062432
oct626525371
9242532878
10106605305
11551a3164
122b850a75
1319117181
1410230489
15955bb55
hex65aaaf9

106605305 has 8 divisors (see below), whose sum is σ = 132337800. Its totient is φ = 82343296.

The previous prime is 106605281. The next prime is 106605307. The reversal of 106605305 is 503506601.

It can be written as a sum of positive squares in 4 ways, for example, as 6285049 + 100320256 = 2507^2 + 10016^2 .

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

It is not a de Polignac number, because 106605305 - 226 = 39496441 is a prime.

It is a super-2 number, since 2×1066053052 = 22729382108286050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106605307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 367460 + ... + 367749.

It is an arithmetic number, because the mean of its divisors is an integer number (16542225).

Almost surely, 2106605305 is an apocalyptic number.

It is an amenable number.

106605305 is a deficient number, since it is larger than the sum of its proper divisors (25732495).

106605305 is an equidigital number, since it uses as much as digits as its factorization.

106605305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735243.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 106605305 is about 10324.9845036203. The cubic root of 106605305 is about 474.1614827793.

The spelling of 106605305 in words is "one hundred six million, six hundred five thousand, three hundred five".

Divisors: 1 5 29 145 735209 3676045 21321061 106605305