| Base | Representation |
|---|---|
| bin | 110001001011001000… |
| … | …1111110110000101000 |
| 3 | 101002120110222210001122 |
| 4 | 1202112101332300220 |
| 5 | 3212232212323031 |
| 6 | 120302345234412 |
| 7 | 10425610350650 |
| oct | 1422621766050 |
| 9 | 332513883048 |
| 10 | 105600511016 |
| 11 | 4086a80aa00 |
| 12 | 18571492a08 |
| 13 | 9c5bbb56a0 |
| 14 | 517ab9d360 |
| 15 | 2b30c6047b |
| hex | 189647ec28 |
105600511016 has 192 divisors, whose sum is σ = 272927491200. Its totient is φ = 37259988480.
The previous prime is 105600510929. The next prime is 105600511019. The reversal of 105600511016 is 610115006501.
105600511016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1056005110162 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is not an unprimeable number, because it can be changed into a prime (105600511019) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4657355 + ... + 4679973.
It is an arithmetic number, because the mean of its divisors is an integer number (1421497350).
Almost surely, 2105600511016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 105600511016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136463745600).
105600511016 is an abundant number, since it is smaller than the sum of its proper divisors (167326980184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105600511016 is a wasteful number, since it uses less digits than its factorization.
105600511016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22720 (or 22705 counting only the distinct ones).
The product of its (nonzero) digits is 900, while the sum is 26.
Adding to 105600511016 its reverse (610115006501), we get a palindrome (715715517517).
It can be divided in two parts, 105600 and 511016, that added together give a palindrome (616616).
The spelling of 105600511016 in words is "one hundred five billion, six hundred million, five hundred eleven thousand, sixteen".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •