| Base | Representation |
|---|---|
| bin | 110001000101010011… |
| … | …0111101000000000000 |
| 3 | 101002001211111122111000 |
| 4 | 1202022212331000000 |
| 5 | 3211332044312430 |
| 6 | 120231112052000 |
| 7 | 10421012005404 |
| oct | 1421246750000 |
| 9 | 332054448430 |
| 10 | 105404682240 |
| 11 | 4077a216940 |
| 12 | 18517994000 |
| 13 | 9c2a45bb80 |
| 14 | 515cb85104 |
| 15 | 2b1d97be60 |
| hex | 188a9bd000 |
105404682240 has 1664 divisors, whose sum is σ = 465007656960. Its totient is φ = 22295347200.
The previous prime is 105404682221. The next prime is 105404682241. The reversal of 105404682240 is 42286404501.
105404682240 is a `hidden beast` number, since 1 + 0 + 5 + 404 + 6 + 8 + 2 + 240 = 666.
It is a tau number, because it is divible by the number of its divisors (1664).
It is a super-2 number, since 2×1054046822402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 105404682195 and 105404682204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105404682241) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 2451271659 + ... + 2451271701.
Almost surely, 2105404682240 is an apocalyptic number.
105404682240 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 105404682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232503828480).
105404682240 is an abundant number, since it is smaller than the sum of its proper divisors (359602974720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105404682240 is a wasteful number, since it uses less digits than its factorization.
105404682240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The spelling of 105404682240 in words is "one hundred five billion, four hundred four million, six hundred eighty-two thousand, two hundred forty".
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