| Base | Representation |
|---|---|
| bin | 110001100010010111… |
| … | …0101010111101000000 |
| 3 | 101011120210022221122000 |
| 4 | 1203010232222331000 |
| 5 | 3220331211042000 |
| 6 | 120511543544000 |
| 7 | 10454122146600 |
| oct | 1430456527500 |
| 9 | 334523287560 |
| 10 | 106379784000 |
| 11 | 4112a684266 |
| 12 | 1874a45b000 |
| 13 | a05448c269 |
| 14 | 5212490c00 |
| 15 | 2b79391000 |
| hex | 18c4baaf40 |
106379784000 has 2016 divisors, whose sum is σ = 499595241600. Its totient is φ = 22034073600.
The previous prime is 106379783969. The next prime is 106379784037. The reversal of 106379784000 is 487973601.
106379784000 is a `hidden beast` number, since 1 + 0 + 637 + 9 + 7 + 8 + 4 + 0 + 0 + 0 = 666.
106379784000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2016).
It is a super-2 number, since 2×1063797840002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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 287 ways as a sum of consecutive naturals, for example, 4625207989 + ... + 4625208011.
It is an arithmetic number, because the mean of its divisors is an integer number (247815100).
Almost surely, 2106379784000 is an apocalyptic number.
106379784000 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 106379784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249797620800).
106379784000 is an abundant number, since it is smaller than the sum of its proper divisors (393215457600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106379784000 is a wasteful number, since it uses less digits than its factorization.
106379784000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 254016, while the sum is 45.
The spelling of 106379784000 in words is "one hundred six billion, three hundred seventy-nine million, seven hundred eighty-four thousand".
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