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106854360 = 2335532317
BaseRepresentation
bin1100101111001…
…11011111011000
321110001202121220
412113213133120
5204323314420
614334132040
72435150514
oct627473730
9243052556
10106854360
1155353298
122b951020
13191a3642
1410297144
1595aa840
hex65e77d8

106854360 has 96 divisors (see below), whose sum is σ = 327756240. Its totient is φ = 27868672.

The previous prime is 106854353. The next prime is 106854403. The reversal of 106854360 is 63458601.

It is a super-2 number, since 2×1068543602 = 22835708502019200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 336922 + ... + 337238.

Almost surely, 2106854360 is an apocalyptic number.

106854360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106854360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163878120).

106854360 is an abundant number, since it is smaller than the sum of its proper divisors (220901880).

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

106854360 is a wasteful number, since it uses less digits than its factorization.

106854360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106854360 is about 10337.0382605464. The cubic root of 106854360 is about 474.5304464173.

The spelling of 106854360 in words is "one hundred six million, eight hundred fifty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 317 318 424 530 634 636 795 951 1060 1268 1272 1585 1590 1902 2120 2536 2809 3170 3180 3804 4755 5618 6340 6360 7608 8427 9510 11236 12680 14045 16801 16854 19020 22472 28090 33602 33708 38040 42135 50403 56180 67204 67416 84005 84270 100806 112360 134408 168010 168540 201612 252015 336020 337080 403224 504030 672040 890453 1008060 1780906 2016120 2671359 3561812 4452265 5342718 7123624 8904530 10685436 13356795 17809060 21370872 26713590 35618120 53427180 106854360