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106743660 = 223513912799
BaseRepresentation
bin1100101110011…
…00011101101100
321102212010202220
412113030131230
5204311244120
614331515340
72434210002
oct627143554
9242763686
10106743660
1155288101
122b8b8b50
131916513a
1410268a72
159587b40
hex65cc76c

106743660 has 48 divisors (see below), whose sum is σ = 301056000. Its totient is φ = 28257984.

The previous prime is 106743641. The next prime is 106743677. The reversal of 106743660 is 66347601.

It is a super-2 number, since 2×1067436602 = 22788417900391200, 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, 1941 + ... + 14739.

It is an arithmetic number, because the mean of its divisors is an integer number (6272000).

Almost surely, 2106743660 is an apocalyptic number.

106743660 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 106743660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150528000).

106743660 is an abundant number, since it is smaller than the sum of its proper divisors (194312340).

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

106743660 is a wasteful number, since it uses less digits than its factorization.

106743660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12948 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 106743660 is about 10331.6823412259. The cubic root of 106743660 is about 474.3665202683.

The spelling of 106743660 in words is "one hundred six million, seven hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 12799 25598 38397 51196 63995 76794 127990 153588 191985 255980 383970 767940 1779061 3558122 5337183 7116244 8895305 10674366 17790610 21348732 26685915 35581220 53371830 106743660