| Base | Representation |
|---|---|
| bin | 1100101100111… |
| … | …00110100000000 |
| 3 | 21102111020001000 |
| 4 | 12112130310000 |
| 5 | 204234022410 |
| 6 | 14323412000 |
| 7 | 2432434653 |
| oct | 626346400 |
| 9 | 242436030 |
| 10 | 106548480 |
| 11 | 551644a5 |
| 12 | 2b824000 |
| 13 | 190c734c |
| 14 | 1021789a |
| 15 | 9549dc0 |
| hex | 659cd00 |
106548480 has 144 divisors (see below), whose sum is σ = 378221760. Its totient is φ = 28403712.
The previous prime is 106548439. The next prime is 106548487. The reversal of 106548480 is 84845601.
106548480 is a `hidden beast` number, since 106 + 548 + 4 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1065484802 = 22705157180620800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106548487) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33019 + ... + 36101.
It is an arithmetic number, because the mean of its divisors is an integer number (2626540).
Almost surely, 2106548480 is an apocalyptic number.
106548480 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 106548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189110880).
106548480 is an abundant number, since it is smaller than the sum of its proper divisors (271673280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106548480 is an equidigital number, since it uses as much as digits as its factorization.
106548480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3113 (or 3093 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The square root of 106548480 is about 10322.2323167036. The cubic root of 106548480 is about 474.0772186327.
The spelling of 106548480 in words is "one hundred six million, five hundred forty-eight thousand, four hundred eighty".
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