| Base | Representation |
|---|---|
| bin | 110000111100101001… |
| … | …0000101111100110000 |
| 3 | 101001022120112112001120 |
| 4 | 1201321102011330300 |
| 5 | 3210233141014300 |
| 6 | 120142205502240 |
| 7 | 10410552160665 |
| oct | 1417122057460 |
| 9 | 331276475046 |
| 10 | 105114001200 |
| 11 | 4064012797a |
| 12 | 18456571980 |
| 13 | 9bb2174960 |
| 14 | 5132319a6c |
| 15 | 2b031ae3a0 |
| hex | 1879485f30 |
105114001200 has 240 divisors, whose sum is σ = 365831481120. Its totient is φ = 25644810240.
The previous prime is 105114001147. The next prime is 105114001249. The reversal of 105114001200 is 2100411501.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1051140012002 (a number of 23 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 105114001200.
It is an unprimeable number.
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, 1732986 + ... + 1792614.
It is an arithmetic number, because the mean of its divisors is an integer number (1524297838).
Almost surely, 2105114001200 is an apocalyptic number.
105114001200 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 105114001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182915740560).
105114001200 is an abundant number, since it is smaller than the sum of its proper divisors (260717479920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105114001200 is a wasteful number, since it uses less digits than its factorization.
105114001200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59776 (or 59765 counting only the distinct ones).
The product of its (nonzero) digits is 40, while the sum is 15.
Adding to 105114001200 its reverse (2100411501), we get a palindrome (107214412701).
The spelling of 105114001200 in words is "one hundred five billion, one hundred fourteen million, one thousand, two hundred".
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