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107660300 = 225211971009
BaseRepresentation
bin1100110101011…
…00010000001100
321111120201011112
412122230100030
5210030112200
614403311152
72445045266
oct632542014
9244521145
10107660300
1155853860
123007b4b8
13193c6427
1410426b36
1596b9535
hex66ac40c

107660300 has 72 divisors (see below), whose sum is σ = 257743920. Its totient is φ = 38707200.

The previous prime is 107660299. The next prime is 107660317. The reversal of 107660300 is 3066701.

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 23 ways as a sum of consecutive naturals, for example, 106196 + ... + 107204.

Almost surely, 2107660300 is an apocalyptic number.

107660300 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 107660300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128871960).

107660300 is an abundant number, since it is smaller than the sum of its proper divisors (150083620).

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

107660300 is a wasteful number, since it uses less digits than its factorization.

107660300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 107660300 is about 10375.9481494464. The cubic root of 107660300 is about 475.7204947596.

The spelling of 107660300 in words is "one hundred seven million, six hundred sixty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 194 220 275 388 485 550 970 1009 1067 1100 1940 2018 2134 2425 4036 4268 4850 5045 5335 9700 10090 10670 11099 20180 21340 22198 25225 26675 44396 50450 53350 55495 97873 100900 106700 110990 195746 221980 277475 391492 489365 554950 978730 1076603 1109900 1957460 2153206 2446825 4306412 4893650 5383015 9787300 10766030 21532060 26915075 53830150 107660300