| Base | Representation |
|---|---|
| bin | 1100101000101… |
| … | …11111110000000 |
| 3 | 21101110120122010 |
| 4 | 12110113332000 |
| 5 | 204114114402 |
| 6 | 14304012520 |
| 7 | 2425010406 |
| oct | 624277600 |
| 9 | 241416563 |
| 10 | 106004352 |
| 11 | 54922703 |
| 12 | 2b601140 |
| 13 | 18c6678c |
| 14 | 10115476 |
| 15 | 948da6c |
| hex | 6517f80 |
106004352 has 64 divisors (see below), whose sum is σ = 288484560. Its totient is φ = 34467840.
The previous prime is 106004347. The next prime is 106004357. The reversal of 106004352 is 253400601.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (106004347) and next prime (106004357).
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1060043522 = 22473845285879808, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106004357) 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 7 ways as a sum of consecutive naturals, for example, 12378 + ... + 19110.
Almost surely, 2106004352 is an apocalyptic number.
106004352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144242280).
106004352 is an abundant number, since it is smaller than the sum of its proper divisors (182480208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106004352 is an equidigital number, since it uses as much as digits as its factorization.
106004352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6791 (or 6779 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 21.
The square root of 106004352 is about 10295.8414906213. The cubic root of 106004352 is about 473.2688258759.
Adding to 106004352 its reverse (253400601), we get a palindrome (359404953).
The spelling of 106004352 in words is "one hundred six million, four thousand, three hundred fifty-two".
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