Base | Representation |
---|---|
bin | 110001101000101000… |
… | …0101011100101101000 |
3 | 101012010102221100120000 |
4 | 1203101100223211220 |
5 | 3221244021313323 |
6 | 120544454103000 |
7 | 10462254162360 |
oct | 1432120534550 |
9 | 335112840500 |
10 | 106590026088 |
11 | 41228322257 |
12 | 187a894aa60 |
13 | a088bc1370 |
14 | 523237b9a0 |
15 | 2b8ca6ee43 |
hex | 18d142b968 |
106590026088 has 640 divisors, whose sum is σ = 380097822720. Its totient is φ = 27159390720.
The previous prime is 106590026077. The next prime is 106590026099. The reversal of 106590026088 is 880620095601.
It is an interprime number because it is at equal distance from previous prime (106590026077) and next prime (106590026099).
It is a super-2 number, since 2×1065900260882 (a number of 23 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 322024083 + ... + 322024413.
It is an arithmetic number, because the mean of its divisors is an integer number (593902848).
Almost surely, 2106590026088 is an apocalyptic number.
106590026088 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 106590026088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190048911360).
106590026088 is an abundant number, since it is smaller than the sum of its proper divisors (273507796632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106590026088 is a wasteful number, since it uses less digits than its factorization.
106590026088 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 539 (or 526 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 45.
The spelling of 106590026088 in words is "one hundred six billion, five hundred ninety million, twenty-six thousand, eighty-eight".
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