| Base | Representation |
|---|---|
| bin | 10111111000101100011000… |
| … | …001000100110100011001100 |
| 3 | 111202221210000111202012100220 |
| 4 | 113320230120020212203030 |
| 5 | 102232123432030013400 |
| 6 | 1011231433500351340 |
| 7 | 31061453646563652 |
| oct | 2770543010464314 |
| 9 | 452853014665326 |
| 10 | 105051010001100 |
| 11 | 30521979520539 |
| 12 | b94770a845550 |
| 13 | 46803632a92c7 |
| 14 | 1bd26d30badd2 |
| 15 | c229403907a0 |
| hex | 5f8b182268cc |
105051010001100 has 288 divisors, whose sum is σ = 315156895334400. Its totient is φ = 26988644793600.
The previous prime is 105051010001099. The next prime is 105051010001107. The reversal of 105051010001100 is 1100010150501.
105051010001100 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 2×1050510100011002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 105051010001100.
It is not an unprimeable number, because it can be changed into a prime (105051010001107) 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, 14552013291 + ... + 14552020509.
Almost surely, 2105051010001100 is an apocalyptic number.
105051010001100 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 105051010001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157578447667200).
105051010001100 is an abundant number, since it is smaller than the sum of its proper divisors (210105885333300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105051010001100 is a wasteful number, since it uses less digits than its factorization.
105051010001100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14053 (or 14046 counting only the distinct ones).
The product of its (nonzero) digits is 25, while the sum is 15.
Adding to 105051010001100 its reverse (1100010150501), we get a palindrome (106151020151601).
The spelling of 105051010001100 in words is "one hundred five trillion, fifty-one billion, ten million, one thousand, one hundred".
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