| Base | Representation |
|---|---|
| bin | 110001110001011100… |
| … | …0101101110110000000 |
| 3 | 101012220001100212020000 |
| 4 | 1203202320231312000 |
| 5 | 3222400221440020 |
| 6 | 121034100120000 |
| 7 | 10502504514021 |
| oct | 1434270556600 |
| 9 | 335801325200 |
| 10 | 106885733760 |
| 11 | 4136a234863 |
| 12 | 1886b996000 |
| 13 | a105248510 |
| 14 | 525d754c48 |
| 15 | 2ba89d2090 |
| hex | 18e2e2dd80 |
106885733760 has 640 divisors, whose sum is σ = 413654472000. Its totient is φ = 26145275904.
The previous prime is 106885733743. The next prime is 106885733761. The reversal of 106885733760 is 67337588601.
106885733760 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 8 + 573 + 3 + 7 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1068857337602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 106885733697 and 106885733706.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106885733761) 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 79 ways as a sum of consecutive naturals, for example, 134109682 + ... + 134110478.
Almost surely, 2106885733760 is an apocalyptic number.
106885733760 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 106885733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206827236000).
106885733760 is an abundant number, since it is smaller than the sum of its proper divisors (306768738240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106885733760 is a wasteful number, since it uses less digits than its factorization.
106885733760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1040 (or 1019 counting only the distinct ones).
The product of its (nonzero) digits is 5080320, while the sum is 54.
The spelling of 106885733760 in words is "one hundred six billion, eight hundred eighty-five million, seven hundred thirty-three thousand, seven hundred sixty".
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