| Base | Representation |
|---|---|
| bin | 11000001001100000110111… |
| … | …110110110110011000000000 |
| 3 | 111221001021112122220210200000 |
| 4 | 120021200313312312120000 |
| 5 | 102410043201413431424 |
| 6 | 1013514434310400000 |
| 7 | 31241123463210210 |
| oct | 3011406766663000 |
| 9 | 457037478823600 |
| 10 | 106206888420864 |
| 11 | 309280a7784330 |
| 12 | bab3734060000 |
| 13 | 4735360961a8a |
| 14 | 1c326258b6240 |
| 15 | c42a418053c9 |
| hex | 609837db6600 |
106206888420864 has 1920 divisors, whose sum is σ = 412946129756160. Its totient is φ = 26451438796800.
The previous prime is 106206888420793. The next prime is 106206888420889. The reversal of 106206888420864 is 468024888602601.
106206888420864 is a `hidden beast` number, since 10 + 6 + 2 + 0 + 68 + 88 + 420 + 8 + 64 = 666.
106206888420864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1062068884208642 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23174095117 + ... + 23174099699.
It is an arithmetic number, because the mean of its divisors is an integer number (215076109248).
Almost surely, 2106206888420864 is an apocalyptic number.
106206888420864 is a gapful number since it is divisible by the number (14) 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 106206888420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206473064878080).
106206888420864 is an abundant number, since it is smaller than the sum of its proper divisors (306739241335296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106206888420864 is an equidigital number, since it uses as much as digits as its factorization.
106206888420864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4734 (or 4706 counting only the distinct ones).
The product of its (nonzero) digits is 56623104, while the sum is 63.
The spelling of 106206888420864 in words is "one hundred six trillion, two hundred six billion, eight hundred eighty-eight million, four hundred twenty thousand, eight hundred sixty-four".
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