Base | Representation |
---|---|
bin | 1100101100101… |
… | …10100101000000 |
3 | 21102102221000020 |
4 | 12112112211000 |
5 | 204232213234 |
6 | 14323053440 |
7 | 2432300343 |
oct | 626264500 |
9 | 242387006 |
10 | 106522944 |
11 | 551472a0 |
12 | 2b811280 |
13 | 190b8838 |
14 | 1020c45a |
15 | 9542549 |
hex | 6596940 |
106522944 has 112 divisors (see below), whose sum is σ = 317577216. Its totient is φ = 31219200.
The previous prime is 106522939. The next prime is 106522957. The reversal of 106522944 is 449225601.
It is a super-2 number, since 2×1065229442 = 22694275196854272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 64659 + ... + 66285.
Almost surely, 2106522944 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 106522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158788608).
106522944 is an abundant number, since it is smaller than the sum of its proper divisors (211054272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106522944 is a wasteful number, since it uses less digits than its factorization.
106522944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 33.
The square root of 106522944 is about 10320.9953008419. The cubic root of 106522944 is about 474.0393422810.
The spelling of 106522944 in words is "one hundred six million, five hundred twenty-two thousand, nine hundred forty-four".
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