| Base | Representation |
|---|---|
| bin | 110001101100101101… |
| … | …1100111011010000000 |
| 3 | 101012110222212221201000 |
| 4 | 1203121123213122000 |
| 5 | 3222034120012042 |
| 6 | 121010232212000 |
| 7 | 10465540316616 |
| oct | 1433133473200 |
| 9 | 335428787630 |
| 10 | 106727110272 |
| 11 | 41298742672 |
| 12 | 1882683a000 |
| 13 | a0ab41a473 |
| 14 | 52466636b6 |
| 15 | 2b99aec74c |
| hex | 18d96e7680 |
106727110272 has 128 divisors (see below), whose sum is σ = 315165312000. Its totient is φ = 35556268032.
The previous prime is 106727110247. The next prime is 106727110277. The reversal of 106727110272 is 272011727601.
106727110272 is a `hidden beast` number, since 106 + 7 + 271 + 10 + 272 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1067271102722 (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 (106727110277) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7212193 + ... + 7226975.
It is an arithmetic number, because the mean of its divisors is an integer number (2462229000).
Almost surely, 2106727110272 is an apocalyptic number.
106727110272 is a gapful number since it is divisible by the number (12) 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 106727110272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157582656000).
106727110272 is an abundant number, since it is smaller than the sum of its proper divisors (208438201728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106727110272 is a wasteful number, since it uses less digits than its factorization.
106727110272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16895 (or 16877 counting only the distinct ones).
The product of its (nonzero) digits is 16464, while the sum is 36.
Adding to 106727110272 its reverse (272011727601), we get a palindrome (378738837873).
The spelling of 106727110272 in words is "one hundred six billion, seven hundred twenty-seven million, one hundred ten thousand, two hundred seventy-two".
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