| Base | Representation |
|---|---|
| bin | 1100101010000… |
| … | …10011100011000 |
| 3 | 21101210102021200 |
| 4 | 12111002130120 |
| 5 | 204140201303 |
| 6 | 14311434200 |
| 7 | 2426333544 |
| oct | 625023430 |
| 9 | 241712250 |
| 10 | 106178328 |
| 11 | 54a31393 |
| 12 | 2b685960 |
| 13 | 18cc7a19 |
| 14 | 1015ca24 |
| 15 | 94c53a3 |
| hex | 6542718 |
106178328 has 96 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 33076224.
The previous prime is 106178323. The next prime is 106178329. The reversal of 106178328 is 823871601.
106178328 is a `hidden beast` number, since 1 + 0 + 617 + 8 + 32 + 8 = 666.
It is a super-2 number, since 2×1061783282 = 22547674673751168, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 106178292 and 106178301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106178323) 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 23 ways as a sum of consecutive naturals, for example, 272758 + ... + 273146.
It is an arithmetic number, because the mean of its divisors is an integer number (3194100).
Almost surely, 2106178328 is an apocalyptic number.
106178328 is a gapful number since it is divisible by the number (18) 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 106178328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).
106178328 is an abundant number, since it is smaller than the sum of its proper divisors (200455272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106178328 is a wasteful number, since it uses less digits than its factorization.
106178328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 641 (or 634 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The square root of 106178328 is about 10304.2868748885. The cubic root of 106178328 is about 473.5275964272.
The spelling of 106178328 in words is "one hundred six million, one hundred seventy-eight thousand, three hundred twenty-eight".
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