| Base | Representation |
|---|---|
| bin | 110000111101100010… |
| … | …1100100011100000000 |
| 3 | 101001101200111110200000 |
| 4 | 1201323011210130000 |
| 5 | 3210313413211030 |
| 6 | 120145210400000 |
| 7 | 10411400366631 |
| oct | 1417305443400 |
| 9 | 331350443600 |
| 10 | 105144272640 |
| 11 | 406562232a0 |
| 12 | 18464730000 |
| 13 | 9bb8513354 |
| 14 | 5136359888 |
| 15 | 2b05b8d860 |
| hex | 187b164700 |
105144272640 has 864 divisors, whose sum is σ = 417839385600. Its totient is φ = 25102172160.
The previous prime is 105144272627. The next prime is 105144272647. The reversal of 105144272640 is 46272441501.
105144272640 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 4 + 2 + 7 + 2 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×1051442726402 (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 = 105144272595 and 105144272604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105144272647) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270293566 + ... + 270293954.
It is an arithmetic number, because the mean of its divisors is an integer number (483610400).
Almost surely, 2105144272640 is an apocalyptic number.
105144272640 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 105144272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208919692800).
105144272640 is an abundant number, since it is smaller than the sum of its proper divisors (312695112960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105144272640 is an equidigital number, since it uses as much as digits as its factorization.
105144272640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 515 (or 489 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The spelling of 105144272640 in words is "one hundred five billion, one hundred forty-four million, two hundred seventy-two thousand, six hundred forty".
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