| Base | Representation |
|---|---|
| bin | 11000001111010100000111… |
| … | …100011011111110110000000 |
| 3 | 111222110101110021202010201020 |
| 4 | 120033110013203133312000 |
| 5 | 102433111041030000000 |
| 6 | 1014421521210305440 |
| 7 | 31311664626552414 |
| oct | 3017240743376600 |
| 9 | 458411407663636 |
| 10 | 106605510000000 |
| 11 | 30a71163216730 |
| 12 | bb58a41728280 |
| 13 | 4763b1983876b |
| 14 | 1c47a3c982d44 |
| 15 | c4d0c21bcba0 |
| hex | 60f5078dfd80 |
106605510000000 has 1024 divisors, whose sum is σ = 396622797143040. Its totient is φ = 25142400000000.
The previous prime is 106605509999981. The next prime is 106605510000001. The reversal of 106605510000000 is 15506601.
It is a super-2 number, since 2×1066055100000002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106605510000001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12209995635 + ... + 12210004365.
It is an arithmetic number, because the mean of its divisors is an integer number (387326950335).
Almost surely, 2106605510000000 is an apocalyptic number.
106605510000000 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 106605510000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198311398571520).
106605510000000 is an abundant number, since it is smaller than the sum of its proper divisors (290017287143040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106605510000000 is an frugal number, since it uses more digits than its factorization.
106605510000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8831 (or 8789 counting only the distinct ones).
The product of its (nonzero) digits is 900, while the sum is 24.
Adding to 106605510000000 its reverse (15506601), we get a palindrome (106605525506601).
The spelling of 106605510000000 in words is "one hundred six trillion, six hundred five billion, five hundred ten million", and thus it is an aban number.
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