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106063600 = 2452535003
BaseRepresentation
bin1100101001001…
…10011011110000
321101120120220111
412110212123300
5204123013400
614305151104
72425345216
oct624463360
9241516814
10106063600
1154963175
122b62b494
1318c87736
141012ccb6
1594a13ba
hex65266f0

106063600 has 60 divisors (see below), whose sum is σ = 259677576. Its totient is φ = 41616640.

The previous prime is 106063579. The next prime is 106063609. The reversal of 106063600 is 6360601.

It is a super-2 number, since 2×1060636002 = 22498974489920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106063609) 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 11 ways as a sum of consecutive naturals, for example, 18699 + ... + 23701.

Almost surely, 2106063600 is an apocalyptic number.

106063600 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 106063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129838788).

106063600 is an abundant number, since it is smaller than the sum of its proper divisors (153613976).

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

106063600 is a wasteful number, since it uses less digits than its factorization.

106063600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 106063600 is about 10298.7183668649. The cubic root of 106063600 is about 473.3569826620.

The spelling of 106063600 in words is "one hundred six million, sixty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5003 5300 10006 10600 20012 21200 25015 40024 50030 80048 100060 125075 200120 250150 265159 400240 500300 530318 1000600 1060636 1325795 2001200 2121272 2651590 4242544 5303180 6628975 10606360 13257950 21212720 26515900 53031800 106063600