| Base | Representation |
|---|---|
| bin | 1100101010001… |
| … | …00110110100000 |
| 3 | 21101210220211000 |
| 4 | 12111010312200 |
| 5 | 204141010232 |
| 6 | 14311552000 |
| 7 | 2426404365 |
| oct | 625046640 |
| 9 | 241726730 |
| 10 | 106188192 |
| 11 | 54a38840 |
| 12 | 2b68b600 |
| 13 | 18ccc366 |
| 14 | 1016246c |
| 15 | 94c827c |
| hex | 6544da0 |
106188192 has 96 divisors (see below), whose sum is σ = 337901760. Its totient is φ = 32175360.
The previous prime is 106188179. The next prime is 106188193. The reversal of 106188192 is 291881601.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1061881922 = 22551864240457728, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (106188193) 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, 3918 + ... + 15090.
It is an arithmetic number, because the mean of its divisors is an integer number (3519810).
Almost surely, 2106188192 is an apocalyptic number.
106188192 is a gapful number since it is divisible by the number (12) 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 106188192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168950880).
106188192 is an abundant number, since it is smaller than the sum of its proper divisors (231713568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106188192 is a wasteful number, since it uses less digits than its factorization.
106188192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11203 (or 11189 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 36.
The square root of 106188192 is about 10304.7654995153. The cubic root of 106188192 is about 473.5422595939.
It can be divided in two parts, 1061 and 88192, that added together give a triangular number (89253 = T422).
The spelling of 106188192 in words is "one hundred six million, one hundred eighty-eight thousand, one hundred ninety-two".
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