| Base | Representation |
|---|---|
| bin | 110001100111011110… |
| … | …0111011110000001000 |
| 3 | 101012000202001121110200 |
| 4 | 1203032330323300020 |
| 5 | 3221204112414414 |
| 6 | 120540552012200 |
| 7 | 10461304030611 |
| oct | 1431674736010 |
| 9 | 335022047420 |
| 10 | 106551294984 |
| 11 | 41208478a82 |
| 12 | 18797991060 |
| 13 | a080b80254 |
| 14 | 522b178c08 |
| 15 | 2b8946e109 |
| hex | 18cef3bc08 |
106551294984 has 96 divisors (see below), whose sum is σ = 291452990400. Its totient is φ = 35164321920.
The previous prime is 106551294979. The next prime is 106551294989. The reversal of 106551294984 is 489492155601.
106551294984 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 512 + 9 + 49 + 84 = 666.
It is an interprime number because it is at equal distance from previous prime (106551294979) and next prime (106551294989).
It is a super-2 number, since 2×1065512949842 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 106551294984.
It is not an unprimeable number, because it can be changed into a prime (106551294989) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 4127782 + ... + 4153514.
It is an arithmetic number, because the mean of its divisors is an integer number (3035968650).
Almost surely, 2106551294984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106551294984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145726495200).
106551294984 is an abundant number, since it is smaller than the sum of its proper divisors (184901695416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106551294984 is a wasteful number, since it uses less digits than its factorization.
106551294984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26315 (or 26308 counting only the distinct ones).
The product of its (nonzero) digits is 3110400, while the sum is 54.
The spelling of 106551294984 in words is "one hundred six billion, five hundred fifty-one million, two hundred ninety-four thousand, nine hundred eighty-four".
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