| Base | Representation |
|---|---|
| bin | 1100011100111… |
| … | …00000110010000 |
| 3 | 21021112112021021 |
| 4 | 12032130012100 |
| 5 | 203214322100 |
| 6 | 14210405224 |
| 7 | 2405540200 |
| oct | 616340620 |
| 9 | 237475237 |
| 10 | 104448400 |
| 11 | 53a5a6a1 |
| 12 | 2ab90814 |
| 13 | 188404b4 |
| 14 | dc2c400 |
| 15 | 9282a1a |
| hex | 639c190 |
104448400 has 135 divisors (see below), whose sum is σ = 295960131. Its totient is φ = 35320320.
The previous prime is 104448341. The next prime is 104448431. The reversal of 104448400 is 4844401.
It is a happy number.
The square root of 104448400 is 10220.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 103876864 = 756^2 + 10192^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is an unprimeable number.
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 26 ways as a sum of consecutive naturals, for example, 1430764 + ... + 1430836.
Almost surely, 2104448400 is an apocalyptic number.
104448400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
104448400 is the 10220-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 104448400
104448400 is an abundant number, since it is smaller than the sum of its proper divisors (191511731).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104448400 is an equidigital number, since it uses as much as digits as its factorization.
104448400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178 (or 87 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 25.
The cubic root of 104448400 is about 470.9418265310.
Multiplying 104448400 by its sum of digits (25), we get a square (2611210000 = 511002).
104448400 divided by its sum of digits (25) gives a square (4177936 = 20442).
Multiplying 104448400 by its reverse (4844401), we get a square (505989933408400 = 224942202).
The spelling of 104448400 in words is "one hundred four million, four hundred forty-eight thousand, four hundred".
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