| Base | Representation |
|---|---|
| bin | 110001000010001110… |
| … | …0000001000100001100 |
| 3 | 101001210121200202201010 |
| 4 | 1202010130001010030 |
| 5 | 3211124043331022 |
| 6 | 120212533045220 |
| 7 | 10415314011120 |
| oct | 1420434010414 |
| 9 | 331717622633 |
| 10 | 105301152012 |
| 11 | 40726834071 |
| 12 | 184a9186810 |
| 13 | 9c11b80594 |
| 14 | 514d115580 |
| 15 | 2b1482b50c |
| hex | 188470110c |
105301152012 has 96 divisors (see below), whose sum is σ = 284915957760. Its totient is φ = 29648335680.
The previous prime is 105301152001. The next prime is 105301152041. The reversal of 105301152012 is 210251103501.
It is a super-4 number, since 4×1053011520124 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 105301152012.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686039 + ... + 1747377.
It is an arithmetic number, because the mean of its divisors is an integer number (2967874560).
Almost surely, 2105301152012 is an apocalyptic number.
105301152012 is a gapful number since it is divisible by the number (12) 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 105301152012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142457978880).
105301152012 is an abundant number, since it is smaller than the sum of its proper divisors (179614805748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105301152012 is a wasteful number, since it uses less digits than its factorization.
105301152012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61651 (or 61649 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 21.
Adding to 105301152012 its reverse (210251103501), we get a palindrome (315552255513).
The spelling of 105301152012 in words is "one hundred five billion, three hundred one million, one hundred fifty-two thousand, twelve".
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