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106667880 = 23351180809
BaseRepresentation
bin1100101101110…
…01111101101000
321102201021211020
412112321331220
5204301333010
614330132440
72433443034
oct626717550
9242637736
10106667880
1155236180
122b881120
13191397b7
14102491c4
159570470
hex65b9f68

106667880 has 64 divisors (see below), whose sum is σ = 349099200. Its totient is φ = 25858560.

The previous prime is 106667867. The next prime is 106667903. The reversal of 106667880 is 88766601.

It is a super-2 number, since 2×1066678802 = 22756073247388800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39085 + ... + 41724.

It is an arithmetic number, because the mean of its divisors is an integer number (5454675).

Almost surely, 2106667880 is an apocalyptic number.

106667880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106667880 is an abundant number, since it is smaller than the sum of its proper divisors (242431320).

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

106667880 is a wasteful number, since it uses less digits than its factorization.

106667880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80834 (or 80830 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 106667880 is about 10328.0143299668. The cubic root of 106667880 is about 474.2542387990.

The spelling of 106667880 in words is "one hundred six million, six hundred sixty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 80809 161618 242427 323236 404045 484854 646472 808090 888899 969708 1212135 1616180 1777798 1939416 2424270 2666697 3232360 3555596 4444495 4848540 5333394 7111192 8888990 9697080 10666788 13333485 17777980 21333576 26666970 35555960 53333940 106667880