| Base | Representation |
|---|---|
| bin | 110000111010011101… |
| … | …1110101110110000000 |
| 3 | 101001010111021200110000 |
| 4 | 1201310323311312000 |
| 5 | 3210111002343300 |
| 6 | 120131042240000 |
| 7 | 10406005162050 |
| oct | 1416473656600 |
| 9 | 331114250400 |
| 10 | 105041059200 |
| 11 | 40602a37530 |
| 12 | 18436056000 |
| 13 | 9ba0015ccc |
| 14 | 512676d560 |
| 15 | 2aebaa1c00 |
| hex | 1874ef5d80 |
105041059200 has 1920 divisors, whose sum is σ = 510544108800. Its totient is φ = 20603289600.
The previous prime is 105041059199. The next prime is 105041059217. The reversal of 105041059200 is 2950140501.
105041059200 is a `hidden beast` number, since 10 + 50 + 4 + 10 + 592 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×1050410592002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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 239 ways as a sum of consecutive naturals, for example, 379209462 + ... + 379209738.
It is an arithmetic number, because the mean of its divisors is an integer number (265908390).
Almost surely, 2105041059200 is an apocalyptic number.
105041059200 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 105041059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255272054400).
105041059200 is an abundant number, since it is smaller than the sum of its proper divisors (405503049600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105041059200 is a wasteful number, since it uses less digits than its factorization.
105041059200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 350 (or 324 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 27.
Adding to 105041059200 its reverse (2950140501), we get a palindrome (107991199701).
The spelling of 105041059200 in words is "one hundred five billion, forty-one million, fifty-nine thousand, two hundred".
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