| Base | Representation |
|---|---|
| bin | 110000111011111111… |
| … | …1000001001101100000 |
| 3 | 101001021001120010010200 |
| 4 | 1201313333001031200 |
| 5 | 3210212102130330 |
| 6 | 120140111025200 |
| 7 | 10410166110102 |
| oct | 1416777011540 |
| 9 | 331231503120 |
| 10 | 105092223840 |
| 11 | 4062990325a |
| 12 | 1844b20b200 |
| 13 | 9baa7bb546 |
| 14 | 512d48b572 |
| 15 | 2b0130ba60 |
| hex | 1877fc1360 |
105092223840 has 288 divisors, whose sum is σ = 383093395776. Its totient is φ = 26141982720.
The previous prime is 105092223839. The next prime is 105092223853. The reversal of 105092223840 is 48322290501.
It is a happy number.
105092223840 is a `hidden beast` number, since 1 + 0 + 50 + 9 + 222 + 384 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1050922238402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 105092223795 and 105092223804.
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 47 ways as a sum of consecutive naturals, for example, 2747245 + ... + 2785235.
It is an arithmetic number, because the mean of its divisors is an integer number (1330185402).
Almost surely, 2105092223840 is an apocalyptic number.
105092223840 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 105092223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191546697888).
105092223840 is an abundant number, since it is smaller than the sum of its proper divisors (278001171936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105092223840 is a wasteful number, since it uses less digits than its factorization.
105092223840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38142 (or 38131 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The spelling of 105092223840 in words is "one hundred five billion, ninety-two million, two hundred twenty-three thousand, eight hundred forty".
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