| Base | Representation |
|---|---|
| bin | 110001101001000111… |
| … | …0101000000000000000 |
| 3 | 101012011120111100020000 |
| 4 | 1203102032220000000 |
| 5 | 3221312200424240 |
| 6 | 120550234120000 |
| 7 | 10462542203223 |
| oct | 1432216500000 |
| 9 | 335146440200 |
| 10 | 106606264320 |
| 11 | 41236503286 |
| 12 | 187b2280000 |
| 13 | a08c38849a |
| 14 | 52345a75ba |
| 15 | 2b8e1cb430 |
| hex | 18d23a8000 |
106606264320 has 640 divisors, whose sum is σ = 396803939400. Its totient is φ = 27348959232.
The previous prime is 106606264273. The next prime is 106606264327. The reversal of 106606264320 is 23462606601.
106606264320 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 6 + 2 + 643 + 2 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 69594660864 + 37011603456 = 263808^2 + 192384^2 .
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1066062643202 (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 not an unprimeable number, because it can be changed into a prime (106606264327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384860022 + ... + 384860298.
Almost surely, 2106606264320 is an apocalyptic number.
106606264320 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 106606264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198401969700).
106606264320 is an abundant number, since it is smaller than the sum of its proper divisors (290197675080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106606264320 is an frugal number, since it uses more digits than its factorization.
106606264320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 353 (or 316 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The spelling of 106606264320 in words is "one hundred six billion, six hundred six million, two hundred sixty-four thousand, three hundred twenty".
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