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106543888 = 241135003
BaseRepresentation
bin1100101100110…
…11101100010000
321102110222201221
412112123230100
5204233401023
614323334424
72432415403
oct626335420
9242428657
10106543888
1155161000
122b821414
13190c5229
1410215d3a
15954885d
hex659bb10

106543888 has 40 divisors (see below), whose sum is σ = 227101536. Its totient is φ = 48419360.

The previous prime is 106543873. The next prime is 106543897. The reversal of 106543888 is 888345601.

It is a super-2 number, since 2×1065438882 = 22703200140313088, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18795 + ... + 23797.

Almost surely, 2106543888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106543888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113550768).

106543888 is an abundant number, since it is smaller than the sum of its proper divisors (120557648).

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

106543888 is an equidigital number, since it uses as much as digits as its factorization.

106543888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 106543888 is about 10322.0098818011. The cubic root of 106543888 is about 474.0704079807.

The spelling of 106543888 in words is "one hundred six million, five hundred forty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5003 5324 10006 10648 20012 21296 40024 55033 80048 110066 220132 440264 605363 880528 1210726 2421452 4842904 6658993 9685808 13317986 26635972 53271944 106543888