| Base | Representation |
|---|---|
| bin | 110001001110110010… |
| … | …0011101011100100000 |
| 3 | 101002220000002111021000 |
| 4 | 1202131210131130200 |
| 5 | 3213010013431213 |
| 6 | 120322434232000 |
| 7 | 10431623636250 |
| oct | 1423544353440 |
| 9 | 332800074230 |
| 10 | 105722795808 |
| 11 | 40922842313 |
| 12 | 185a6425600 |
| 13 | 9c7b32c556 |
| 14 | 518d111960 |
| 15 | 2b3b867c73 |
| hex | 189d91d720 |
105722795808 has 384 divisors, whose sum is σ = 379609251840. Its totient is φ = 27960007680.
The previous prime is 105722795797. The next prime is 105722795809. The reversal of 105722795808 is 808597227501.
105722795808 is a `hidden beast` number, since 1 + 0 + 57 + 2 + 2 + 7 + 9 + 580 + 8 = 666.
It is a super-2 number, since 2×1057227958082 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (105722795809) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 4299966 + ... + 4324482.
It is an arithmetic number, because the mean of its divisors is an integer number (988565760).
Almost surely, 2105722795808 is an apocalyptic number.
105722795808 is a gapful number since it is divisible by the number (18) 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 105722795808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189804625920).
105722795808 is an abundant number, since it is smaller than the sum of its proper divisors (273886456032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105722795808 is a wasteful number, since it uses less digits than its factorization.
105722795808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24597 (or 24583 counting only the distinct ones).
The product of its (nonzero) digits is 2822400, while the sum is 54.
The spelling of 105722795808 in words is "one hundred five billion, seven hundred twenty-two million, seven hundred ninety-five thousand, eight hundred eight".
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