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107168124 = 223710971163
BaseRepresentation
bin1100110001101…
…00000101111100
321110122201000210
412120310011330
5204413334444
614344552420
72440625340
oct630640574
9243581023
10107168124
1155547aa8
122ba82710
13192833bb
1410339620
15961d7b9
hex663417c

107168124 has 48 divisors (see below), whose sum is σ = 286288128. Its totient is φ = 30565248.

The previous prime is 107168123. The next prime is 107168141. The reversal of 107168124 is 421861701.

It is a super-2 number, since 2×1071681242 = 22970013603358752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107168091 and 107168100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107168123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91567 + ... + 92729.

It is an arithmetic number, because the mean of its divisors is an integer number (5964336).

Almost surely, 2107168124 is an apocalyptic number.

107168124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107168124 is an abundant number, since it is smaller than the sum of its proper divisors (179120004).

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

107168124 is a wasteful number, since it uses less digits than its factorization.

107168124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 107168124 is about 10352.2038233412. The cubic root of 107168124 is about 474.9944582918.

The spelling of 107168124 in words is "one hundred seven million, one hundred sixty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1097 1163 2194 2326 3291 3489 4388 4652 6582 6978 7679 8141 13164 13956 15358 16282 23037 24423 30716 32564 46074 48846 92148 97692 1275811 2551622 3827433 5103244 7654866 8930677 15309732 17861354 26792031 35722708 53584062 107168124