Base | Representation |
---|---|
bin | 1100101011100… |
… | …11000000010100 |
3 | 21102011112010122 |
4 | 12111303000110 |
5 | 204213032421 |
6 | 14320011112 |
7 | 2431122500 |
oct | 625630024 |
9 | 242145118 |
10 | 106377236 |
11 | 55057879 |
12 | 2b760a98 |
13 | 19067414 |
14 | 101b1300 |
15 | 95142ab |
hex | 6573014 |
106377236 has 36 divisors (see below), whose sum is σ = 220248000. Its totient is φ = 44812656.
The previous prime is 106377233. The next prime is 106377251. The reversal of 106377236 is 632773601.
It is a happy number.
It is a super-2 number, since 2×1063772362 = 22632232677999392, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 106377196 and 106377205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106377233) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 6965 + ... + 16163.
It is an arithmetic number, because the mean of its divisors is an integer number (6118000).
Almost surely, 2106377236 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106377236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110124000).
106377236 is an abundant number, since it is smaller than the sum of its proper divisors (113870764).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106377236 is a wasteful number, since it uses less digits than its factorization.
106377236 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9276 (or 9267 counting only the distinct ones).
The product of its (nonzero) digits is 31752, while the sum is 35.
The square root of 106377236 is about 10313.9340699851. The cubic root of 106377236 is about 473.8231045421.
The spelling of 106377236 in words is "one hundred six million, three hundred seventy-seven thousand, two hundred thirty-six".
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