| Base | Representation |
|---|---|
| bin | 1100101011100… |
| … | …00001001011000 |
| 3 | 21102010221002000 |
| 4 | 12111300021120 |
| 5 | 204212144103 |
| 6 | 14315441000 |
| 7 | 2431043403 |
| oct | 625601130 |
| 9 | 242127060 |
| 10 | 106365528 |
| 11 | 55049aa5 |
| 12 | 2b756160 |
| 13 | 19061ca9 |
| 14 | 101aad3a |
| 15 | 9510aa3 |
| hex | 6570258 |
106365528 has 64 divisors (see below), whose sum is σ = 303468000. Its totient is φ = 34494336.
The previous prime is 106365527. The next prime is 106365529. The reversal of 106365528 is 825563601.
106365528 is a `hidden beast` number, since 10 + 63 + 65 + 528 = 666.
It is an interprime number because it is at equal distance from previous prime (106365527) and next prime (106365529).
It is a super-2 number, since 2×1063655282 = 22627251093437568, 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 = 106365492 and 106365501.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106365527) 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 15 ways as a sum of consecutive naturals, for example, 1338 + ... + 14646.
Almost surely, 2106365528 is an apocalyptic number.
106365528 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 106365528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151734000).
106365528 is an abundant number, since it is smaller than the sum of its proper divisors (197102472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106365528 is a wasteful number, since it uses less digits than its factorization.
106365528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13361 (or 13351 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The square root of 106365528 is about 10313.3664726897. The cubic root of 106365528 is about 473.8057207338.
The spelling of 106365528 in words is "one hundred six million, three hundred sixty-five thousand, five hundred twenty-eight".
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