Base | Representation |
---|---|
bin | 1100101100001… |
… | …10000101001111 |
3 | 21102022111022200 |
4 | 12112012011033 |
5 | 204223033000 |
6 | 14321412543 |
7 | 2431566345 |
oct | 626060517 |
9 | 242274280 |
10 | 106455375 |
11 | 55100554 |
12 | 2b79a153 |
13 | 19093b60 |
14 | 101d1995 |
15 | 952c500 |
hex | 658614f |
106455375 has 96 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 50400000.
The previous prime is 106455373. The next prime is 106455383. The reversal of 106455375 is 573554601.
106455375 is a `hidden beast` number, since 1 + 0 + 645 + 5 + 3 + 7 + 5 = 666.
It is not a de Polignac number, because 106455375 - 21 = 106455373 is a prime.
It is a super-2 number, since 2×1064553752 = 22665493732781250, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106455373) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 424000 + ... + 424250.
It is an arithmetic number, because the mean of its divisors is an integer number (2235870).
Almost surely, 2106455375 is an apocalyptic number.
106455375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
106455375 is an abundant number, since it is smaller than the sum of its proper divisors (108188145).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106455375 is a wasteful number, since it uses less digits than its factorization.
106455375 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 314 (or 301 counting only the distinct ones).
The product of its (nonzero) digits is 63000, while the sum is 36.
The square root of 106455375 is about 10317.7214054267. The cubic root of 106455375 is about 473.9390911427.
The spelling of 106455375 in words is "one hundred six million, four hundred fifty-five thousand, three hundred seventy-five".
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