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106605730 = 25711138449
BaseRepresentation
bin1100101101010…
…10110010100010
321102121010120101
412112222302202
5204242340410
614324533014
72433063610
oct626526242
9242533511
10106605730
11551a3510
122b85116a
131911741a
14102306b0
15955bd3a
hex65aaca2

106605730 has 32 divisors (see below), whose sum is σ = 239241600. Its totient is φ = 33227520.

The previous prime is 106605727. The next prime is 106605731. The reversal of 106605730 is 37506601.

It is a super-2 number, since 2×1066057302 = 22729563337665800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106605731) 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, 68455 + ... + 69994.

It is an arithmetic number, because the mean of its divisors is an integer number (7476300).

Almost surely, 2106605730 is an apocalyptic number.

106605730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106605730 is an abundant number, since it is smaller than the sum of its proper divisors (132635870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106605730 is a wasteful number, since it uses less digits than its factorization.

106605730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138474.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 106605730 is about 10325.0050847445. The cubic root of 106605730 is about 474.1621128866.

The spelling of 106605730 in words is "one hundred six million, six hundred five thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 138449 276898 692245 969143 1384490 1522939 1938286 3045878 4845715 7614695 9691430 10660573 15229390 21321146 53302865 106605730