| Base | Representation |
|---|---|
| bin | 1100101011011… |
| … | …01001011010000 |
| 3 | 21102010022101100 |
| 4 | 12111231023100 |
| 5 | 204211301420 |
| 6 | 14315304400 |
| 7 | 2430663051 |
| oct | 625551320 |
| 9 | 242108340 |
| 10 | 106353360 |
| 11 | 55040943 |
| 12 | 2b74b100 |
| 13 | 190595a9 |
| 14 | 101a6728 |
| 15 | 950c190 |
| hex | 656d2d0 |
106353360 has 120 divisors (see below), whose sum is σ = 378223560. Its totient is φ = 26689536.
The previous prime is 106353349. The next prime is 106353389. The reversal of 106353360 is 63353601.
106353360 is a `hidden beast` number, since 10 + 63 + 533 + 60 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 44195904 + 62157456 = 6648^2 + 7884^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1063533602 = 22622074366579200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 7896 + ... + 16584.
It is an arithmetic number, because the mean of its divisors is an integer number (3151863).
Almost surely, 2106353360 is an apocalyptic number.
106353360 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 106353360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189111780).
106353360 is an abundant number, since it is smaller than the sum of its proper divisors (271870200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106353360 is a wasteful number, since it uses less digits than its factorization.
106353360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8725 (or 8716 counting only the distinct ones).
The product of its (nonzero) digits is 4860, while the sum is 27.
The square root of 106353360 is about 10312.7765417467. The cubic root of 106353360 is about 473.7876525746.
The spelling of 106353360 in words is "one hundred six million, three hundred fifty-three thousand, three hundred sixty".
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