| Base | Representation |
|---|---|
| bin | 1100101100000… |
| … | …00111001110000 |
| 3 | 21102021102012221 |
| 4 | 12112000321300 |
| 5 | 204221343120 |
| 6 | 14321130424 |
| 7 | 2431450450 |
| oct | 626007160 |
| 9 | 242242187 |
| 10 | 106434160 |
| 11 | 55096618 |
| 12 | 2b789a14 |
| 13 | 190872c1 |
| 14 | 101c7d60 |
| 15 | 95260aa |
| hex | 6580e70 |
106434160 has 80 divisors (see below), whose sum is σ = 291981312. Its totient is φ = 35308800.
The previous prime is 106434151. The next prime is 106434169. The reversal of 106434160 is 61434601.
It is an interprime number because it is at equal distance from previous prime (106434151) and next prime (106434169).
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1064341602 = 22656460829811200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106434169) 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, 14295 + ... + 20425.
Almost surely, 2106434160 is an apocalyptic number.
106434160 is a gapful number since it is divisible by the number (10) 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 106434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656).
106434160 is an abundant number, since it is smaller than the sum of its proper divisors (185547152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106434160 is a wasteful number, since it uses less digits than its factorization.
106434160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6182 (or 6176 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
The square root of 106434160 is about 10316.6932686787. The cubic root of 106434160 is about 473.9076060070.
Adding to 106434160 its reverse (61434601), we get a palindrome (167868761).
The spelling of 106434160 in words is "one hundred six million, four hundred thirty-four thousand, one hundred sixty".
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