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106448660 = 2256187253
BaseRepresentation
bin1100101100001…
…00011100010100
321102022011002222
412112010130110
5204222324120
614321321512
72431540643
oct626043424
9242264088
10106448660
11550a64aa
122b796298
1319090a96
14101cd35a
15952a525
hex6584714

106448660 has 24 divisors (see below), whose sum is σ = 227209416. Its totient is φ = 41880960.

The previous prime is 106448653. The next prime is 106448677. The reversal of 106448660 is 66844601.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 103469584 = 1726^2 + 10172^2 .

It is a super-2 number, since 2×1064486602 = 22662634431591200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106448660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42407 + ... + 44846.

It is an arithmetic number, because the mean of its divisors is an integer number (9467059).

Almost surely, 2106448660 is an apocalyptic number.

106448660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106448660 is an abundant number, since it is smaller than the sum of its proper divisors (120760756).

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

106448660 is a wasteful number, since it uses less digits than its factorization.

106448660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87323 (or 87321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 106448660 is about 10317.3959892989. The cubic root of 106448660 is about 473.9291258782.

The spelling of 106448660 in words is "one hundred six million, four hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 87253 174506 349012 436265 872530 1745060 5322433 10644866 21289732 26612165 53224330 106448660