| Base | Representation |
|---|---|
| bin | 1100101010111… |
| … | …10100110011100 |
| 3 | 21102000021111020 |
| 4 | 12111132212130 |
| 5 | 204202344120 |
| 6 | 14314124140 |
| 7 | 2430324024 |
| oct | 625364634 |
| 9 | 242007436 |
| 10 | 106293660 |
| 11 | 55000000 |
| 12 | 2b720650 |
| 13 | 19038375 |
| 14 | 1018ca84 |
| 15 | 94e9640 |
| hex | 655e99c |
106293660 has 84 divisors (see below), whose sum is σ = 327384456. Its totient is φ = 25768160.
The previous prime is 106293653. The next prime is 106293683. The reversal of 106293660 is 66392601.
It is a happy number.
It is a super-2 number, since 2×1062936602 = 22596684312391200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a nialpdrome in base 11.
It is a zygodrome in base 11.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 605 × 363 × 484.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9663055 + ... + 9663065.
It is an arithmetic number, because the mean of its divisors is an integer number (3897434).
Almost surely, 2106293660 is an apocalyptic number.
106293660 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 106293660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163692228).
106293660 is an abundant number, since it is smaller than the sum of its proper divisors (221090796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106293660 is an frugal number, since it uses more digits than its factorization.
106293660 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 33.
The square root of 106293660 is about 10309.8816676041. The cubic root of 106293660 is about 473.6989845814.
It can be divided in two parts, 106293 and 660, that added together give a triangular number (106953 = T462).
The spelling of 106293660 in words is "one hundred six million, two hundred ninety-three thousand, six hundred sixty".
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