| Base | Representation |
|---|---|
| bin | 1100101110010… |
| … | …10011101000100 |
| 3 | 21102211201111000 |
| 4 | 12113022131010 |
| 5 | 204311013203 |
| 6 | 14331413300 |
| 7 | 2434144002 |
| oct | 627123504 |
| 9 | 242751430 |
| 10 | 106735428 |
| 11 | 552819a8 |
| 12 | 2b8b4230 |
| 13 | 19161477 |
| 14 | 10265a72 |
| 15 | 95854a3 |
| hex | 65ca744 |
106735428 has 96 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 33651072.
The previous prime is 106735411. The next prime is 106735439. The reversal of 106735428 is 824537601.
106735428 is a `hidden beast` number, since 106 + 7 + 3 + 542 + 8 = 666.
It is a super-3 number, since 3×1067354283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 106735392 and 106735401.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 165675 + ... + 166317.
It is an arithmetic number, because the mean of its divisors is an integer number (3042900).
Almost surely, 2106735428 is an apocalyptic number.
106735428 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 106735428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).
106735428 is an abundant number, since it is smaller than the sum of its proper divisors (185382972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106735428 is a wasteful number, since it uses less digits than its factorization.
106735428 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 738 (or 730 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 106735428 is about 10331.2839473126. The cubic root of 106735428 is about 474.3543256781.
The spelling of 106735428 in words is "one hundred six million, seven hundred thirty-five thousand, four hundred twenty-eight".
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