Base | Representation |
---|---|
bin | 1100101101010… |
… | …01010111010000 |
3 | 21102120211120000 |
4 | 12112221113100 |
5 | 204242144023 |
6 | 14324450000 |
7 | 2433040563 |
oct | 626512720 |
9 | 242524500 |
10 | 106599888 |
11 | 5519a08a |
12 | 2b849900 |
13 | 19114875 |
14 | 1022c4da |
15 | 955a243 |
hex | 65a95d0 |
106599888 has 100 divisors (see below), whose sum is σ = 312563328. Its totient is φ = 35069760.
The previous prime is 106599887. The next prime is 106599893. The reversal of 106599888 is 888995601.
It is a super-2 number, since 2×1065998882 = 22727072243225088, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106599887) 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 19 ways as a sum of consecutive naturals, for example, 107073 + ... + 108063.
Almost surely, 2106599888 is an apocalyptic number.
106599888 is a gapful number since it is divisible by the number (18) 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 106599888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156281664).
106599888 is an abundant number, since it is smaller than the sum of its proper divisors (205963440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106599888 is an equidigital number, since it uses as much as digits as its factorization.
106599888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1094 (or 1079 counting only the distinct ones).
The product of its (nonzero) digits is 1244160, while the sum is 54.
The square root of 106599888 is about 10324.7221754389. The cubic root of 106599888 is about 474.1534513582.
The spelling of 106599888 in words is "one hundred six million, five hundred ninety-nine thousand, eight hundred eighty-eight".
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