| Base | Representation |
|---|---|
| bin | 110001000110111101… |
| … | …0001010111010111000 |
| 3 | 101002012200200201000112 |
| 4 | 1202031322022322320 |
| 5 | 3211440233123030 |
| 6 | 120240410523452 |
| 7 | 10422253435256 |
| oct | 1421572127270 |
| 9 | 332180621015 |
| 10 | 105460051640 |
| 11 | 407a84a4779 |
| 12 | 18532436588 |
| 13 | 9c38a77228 |
| 14 | 51662795d6 |
| 15 | 2b23767a95 |
| hex | 188de8aeb8 |
105460051640 has 64 divisors (see below), whose sum is σ = 240791616000. Its totient is φ = 41561457280.
The previous prime is 105460051637. The next prime is 105460051643. The reversal of 105460051640 is 46150064501.
It is an interprime number because it is at equal distance from previous prime (105460051637) and next prime (105460051643).
It is a super-2 number, since 2×1054600516402 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105460051597 and 105460051606.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105460051643) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4415651 + ... + 4439469.
It is an arithmetic number, because the mean of its divisors is an integer number (3762369000).
Almost surely, 2105460051640 is an apocalyptic number.
105460051640 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 105460051640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120395808000).
105460051640 is an abundant number, since it is smaller than the sum of its proper divisors (135331564360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105460051640 is a wasteful number, since it uses less digits than its factorization.
105460051640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25460 (or 25456 counting only the distinct ones).
The product of its (nonzero) digits is 14400, while the sum is 32.
The spelling of 105460051640 in words is "one hundred five billion, four hundred sixty million, fifty-one thousand, six hundred forty".
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