| Base | Representation |
|---|---|
| bin | 1100101001110… |
| … | …10000111000000 |
| 3 | 21101201200110101 |
| 4 | 12110322013000 |
| 5 | 204133103232 |
| 6 | 14311012144 |
| 7 | 2426132200 |
| oct | 624720700 |
| 9 | 241650411 |
| 10 | 106144192 |
| 11 | 54a08780 |
| 12 | 2b66a054 |
| 13 | 18cb531b |
| 14 | 10150400 |
| 15 | 94ba1e7 |
| hex | 653a1c0 |
106144192 has 168 divisors, whose sum is σ = 284579568. Its totient is φ = 38707200.
The previous prime is 106144169. The next prime is 106144193. The reversal of 106144192 is 291441601.
It is a super-3 number, since 3×1061441923 (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 (28).
It is a self number, because there is not a number n which added to its sum of digits gives 106144192.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106144193) 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, 586342 + ... + 586522.
It is an arithmetic number, because the mean of its divisors is an integer number (1693926).
Almost surely, 2106144192 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142289784).
106144192 is an abundant number, since it is smaller than the sum of its proper divisors (178435376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106144192 is a wasteful number, since it uses less digits than its factorization.
106144192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 235 (or 218 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 28.
The square root of 106144192 is about 10302.6303437520. The cubic root of 106144192 is about 473.4768451081.
Adding to 106144192 its reverse (291441601), we get a palindrome (397585793).
The spelling of 106144192 in words is "one hundred six million, one hundred forty-four thousand, one hundred ninety-two".
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