| Base | Representation |
|---|---|
| bin | 1100101101100… |
| … | …10101011100000 |
| 3 | 21102122202220100 |
| 4 | 12112302223200 |
| 5 | 204244404143 |
| 6 | 14325342400 |
| 7 | 2433260046 |
| oct | 626625340 |
| 9 | 242582810 |
| 10 | 106638048 |
| 11 | 55215820 |
| 12 | 2b867a00 |
| 13 | 1912904a |
| 14 | 1023c396 |
| 15 | 95666d3 |
| hex | 65b2ae0 |
106638048 has 144 divisors (see below), whose sum is σ = 339301872. Its totient is φ = 31488000.
The previous prime is 106638031. The next prime is 106638073. The reversal of 106638048 is 840836601.
It is a happy number.
106638048 is a `hidden beast` number, since 10 + 6 + 638 + 0 + 4 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1066380482 = 22743346562500608, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129478 + ... + 130298.
It is an arithmetic number, because the mean of its divisors is an integer number (2356263).
Almost surely, 2106638048 is an apocalyptic number.
106638048 is a gapful number since it is divisible by the number (18) 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 106638048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169650936).
106638048 is an abundant number, since it is smaller than the sum of its proper divisors (232663824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106638048 is a wasteful number, since it uses less digits than its factorization.
106638048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 889 (or 878 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 106638048 is about 10326.5700016995. The cubic root of 106638048 is about 474.2100228283.
The spelling of 106638048 in words is "one hundred six million, six hundred thirty-eight thousand, forty-eight".
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