| Base | Representation |
|---|---|
| bin | 110000111101010001… |
| … | …1111010100010000000 |
| 3 | 101001101001220020121110 |
| 4 | 1201322203322202000 |
| 5 | 3210304133401430 |
| 6 | 120144253323320 |
| 7 | 10411232403432 |
| oct | 1417243724200 |
| 9 | 331331806543 |
| 10 | 105135450240 |
| 11 | 40651247957 |
| 12 | 18461796540 |
| 13 | 9bb67447b2 |
| 14 | 5135100652 |
| 15 | 2b04ee97b0 |
| hex | 187a8fa880 |
105135450240 has 128 divisors (see below), whose sum is σ = 335485670400. Its totient is φ = 28005466112.
The previous prime is 105135450227. The next prime is 105135450241. The reversal of 105135450240 is 42054531501.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1051354502402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 105135450198 and 105135450207.
It is not an unprimeable number, because it can be changed into a prime (105135450241) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754209 + ... + 1813151.
It is an arithmetic number, because the mean of its divisors is an integer number (2620981800).
Almost surely, 2105135450240 is an apocalyptic number.
105135450240 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 105135450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167742835200).
105135450240 is an abundant number, since it is smaller than the sum of its proper divisors (230350220160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105135450240 is an equidigital number, since it uses as much as digits as its factorization.
105135450240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59894 (or 59882 counting only the distinct ones).
The product of its (nonzero) digits is 12000, while the sum is 30.
Adding to 105135450240 its reverse (42054531501), we get a palindrome (147189981741).
The spelling of 105135450240 in words is "one hundred five billion, one hundred thirty-five million, four hundred fifty thousand, two hundred forty".
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