Base | Representation |
---|---|
bin | 1100101001001… |
… | …01100101001110 |
3 | 21101120102010020 |
4 | 12110211211032 |
5 | 204122410420 |
6 | 14305123010 |
7 | 2425332102 |
oct | 624454516 |
9 | 241512106 |
10 | 106060110 |
11 | 54960592 |
12 | 2b629466 |
13 | 18c85c80 |
14 | 1012b902 |
15 | 94a0340 |
hex | 652594e |
106060110 has 96 divisors (see below), whose sum is σ = 291507552. Its totient is φ = 24545280.
The previous prime is 106060069. The next prime is 106060117. The reversal of 106060110 is 11060601.
It is a super-2 number, since 2×1060601102 = 22497493866424200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 106060110.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106060117) 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 47 ways as a sum of consecutive naturals, for example, 112240 + ... + 113180.
It is an arithmetic number, because the mean of its divisors is an integer number (3036537).
Almost surely, 2106060110 is an apocalyptic number.
106060110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 106060110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145753776).
106060110 is an abundant number, since it is smaller than the sum of its proper divisors (185447442).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106060110 is a wasteful number, since it uses less digits than its factorization.
106060110 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 998 (or 981 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
The square root of 106060110 is about 10298.5489269120. The cubic root of 106060110 is about 473.3517907017.
The spelling of 106060110 in words is "one hundred six million, sixty thousand, one hundred ten".
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