| Base | Representation |
|---|---|
| bin | 110001000101101101… |
| … | …0010111101000000000 |
| 3 | 101002002202212102101000 |
| 4 | 1202023122113220000 |
| 5 | 3211344022120030 |
| 6 | 120232313012000 |
| 7 | 10421234403132 |
| oct | 1421332275000 |
| 9 | 332082772330 |
| 10 | 105418160640 |
| 11 | 40786892411 |
| 12 | 185203b4000 |
| 13 | 9c3019aa60 |
| 14 | 5160893052 |
| 15 | 2b1ec40860 |
| hex | 188b697a00 |
105418160640 has 320 divisors, whose sum is σ = 403261689600. Its totient is φ = 25948864512.
The previous prime is 105418160611. The next prime is 105418160651. The reversal of 105418160640 is 46061814501.
105418160640 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 8 + 1 + 6 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×1054181606402 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 105418160595 and 105418160604.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839901 + ... + 957219.
It is an arithmetic number, because the mean of its divisors is an integer number (1260192780).
Almost surely, 2105418160640 is an apocalyptic number.
105418160640 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 105418160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201630844800).
105418160640 is an abundant number, since it is smaller than the sum of its proper divisors (297843528960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105418160640 is a wasteful number, since it uses less digits than its factorization.
105418160640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117364 (or 117342 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 105418160640 in words is "one hundred five billion, four hundred eighteen million, one hundred sixty thousand, six hundred forty".
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