Base | Representation |
---|---|
bin | 1100101101001… |
… | …00100010011100 |
3 | 21102112211110000 |
4 | 12112210202130 |
5 | 204241030444 |
6 | 14324214300 |
7 | 2432626140 |
oct | 626444234 |
9 | 242484400 |
10 | 106580124 |
11 | 55186252 |
12 | 2b83a390 |
13 | 19108881 |
14 | 10225220 |
15 | 9554469 |
hex | 65a489c |
106580124 has 60 divisors (see below), whose sum is σ = 318431344. Its totient is φ = 30450816.
The previous prime is 106580119. The next prime is 106580129. The reversal of 106580124 is 421085601.
106580124 is a `hidden beast` number, since 1 + 0 + 658 + 0 + 1 + 2 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (106580119) and next prime (106580129).
It is a super-2 number, since 2×1065801242 = 22718645663710752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106580129) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21229 + ... + 25764.
Almost surely, 2106580124 is an apocalyptic number.
106580124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
106580124 is an abundant number, since it is smaller than the sum of its proper divisors (211851220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106580124 is a wasteful number, since it uses less digits than its factorization.
106580124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47016 (or 47005 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 106580124 is about 10323.7650108863. The cubic root of 106580124 is about 474.1241462992.
The spelling of 106580124 in words is "one hundred six million, five hundred eighty thousand, one hundred twenty-four".
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