Base | Representation |
---|---|
bin | 1100101100111… |
… | …01011101000000 |
3 | 21102111100122012 |
4 | 12112131131000 |
5 | 204234113404 |
6 | 14323432052 |
7 | 2432445422 |
oct | 626353500 |
9 | 242440565 |
10 | 106551104 |
11 | 55166470 |
12 | 2b825628 |
13 | 190c85ba |
14 | 10218812 |
15 | 954aa6e |
hex | 659d740 |
106551104 has 112 divisors (see below), whose sum is σ = 253471680. Its totient is φ = 43868160.
The previous prime is 106551101. The next prime is 106551113. The reversal of 106551104 is 401155601.
It is a super-2 number, since 2×1065511042 = 22706275527237632, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 106551104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106551101) 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 15 ways as a sum of consecutive naturals, for example, 346919 + ... + 347225.
It is an arithmetic number, because the mean of its divisors is an integer number (2263140).
Almost surely, 2106551104 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 106551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126735840).
106551104 is an abundant number, since it is smaller than the sum of its proper divisors (146920576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106551104 is a wasteful number, since it uses less digits than its factorization.
106551104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 376 (or 366 counting only the distinct ones).
The product of its (nonzero) digits is 600, while the sum is 23.
The square root of 106551104 is about 10322.3594202101. The cubic root of 106551104 is about 474.0811103460.
The spelling of 106551104 in words is "one hundred six million, five hundred fifty-one thousand, one hundred four".
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