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106543620 = 223351911033
BaseRepresentation
bin1100101100110…
…11101000000100
321102110222101000
412112123220010
5204233343440
614323333300
72432414541
oct626335004
9242428330
10106543620
1155160887
122b821230
13190c5081
1410215bc8
159548730
hex659ba04

106543620 has 96 divisors (see below), whose sum is σ = 333527040. Its totient is φ = 28235520.

The previous prime is 106543579. The next prime is 106543669. The reversal of 106543620 is 26345601.

106543620 is a `hidden beast` number, since 1 + 0 + 654 + 3 + 6 + 2 + 0 = 666.

It is a super-2 number, since 2×1065436202 = 22703085925408800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102624 + ... + 103656.

It is an arithmetic number, because the mean of its divisors is an integer number (3474240).

Almost surely, 2106543620 is an apocalyptic number.

106543620 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 106543620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166763520).

106543620 is an abundant number, since it is smaller than the sum of its proper divisors (226983420).

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

106543620 is a wasteful number, since it uses less digits than its factorization.

106543620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106543620 is about 10321.9968998251. The cubic root of 106543620 is about 474.0700104888.

The spelling of 106543620 in words is "one hundred six million, five hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 191 270 382 540 573 764 955 1033 1146 1719 1910 2066 2292 2865 3099 3438 3820 4132 5157 5165 5730 6198 6876 8595 9297 10314 10330 11460 12396 15495 17190 18594 20628 20660 25785 27891 30990 34380 37188 46485 51570 55782 61980 92970 103140 111564 139455 185940 197303 278910 394606 557820 591909 789212 986515 1183818 1775727 1973030 2367636 2959545 3551454 3946060 5327181 5919090 7102908 8878635 10654362 11838180 17757270 21308724 26635905 35514540 53271810 106543620