| Base | Representation |
|---|---|
| bin | 1100101100010… |
| … | …10111000100000 |
| 3 | 21102100111022000 |
| 4 | 12112022320200 |
| 5 | 204224200130 |
| 6 | 14322044000 |
| 7 | 2432010600 |
| oct | 626127040 |
| 9 | 242314260 |
| 10 | 106475040 |
| 11 | 55114301 |
| 12 | 2b7a9600 |
| 13 | 1909caa9 |
| 14 | 101d8c00 |
| 15 | 9533260 |
| hex | 658ae20 |
106475040 has 288 divisors, whose sum is σ = 434367360. Its totient is φ = 24288768.
The previous prime is 106475021. The next prime is 106475077. The reversal of 106475040 is 40574601.
106475040 is a `hidden beast` number, since 10 + 647 + 5 + 0 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1064750402 = 22673868286003200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 106474995 and 106475013.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 211429 + ... + 211931.
It is an arithmetic number, because the mean of its divisors is an integer number (1508220).
Almost surely, 2106475040 is an apocalyptic number.
106475040 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 106475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).
106475040 is an abundant number, since it is smaller than the sum of its proper divisors (327892320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106475040 is a wasteful number, since it uses less digits than its factorization.
106475040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 541 (or 520 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The square root of 106475040 is about 10318.6743334597. The cubic root of 106475040 is about 473.9682721913.
The spelling of 106475040 in words is "one hundred six million, four hundred seventy-five thousand, forty".
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