| Base | Representation |
|---|---|
| bin | 1100101010001… |
| … | …10011110000000 |
| 3 | 21101211020220100 |
| 4 | 12111012132000 |
| 5 | 204141213231 |
| 6 | 14312042400 |
| 7 | 2426432610 |
| oct | 625063600 |
| 9 | 241736810 |
| 10 | 106194816 |
| 11 | 54a42812 |
| 12 | 2b693400 |
| 13 | 19002390 |
| 14 | 10164a40 |
| 15 | 94ca1e6 |
| hex | 6546780 |
106194816 has 192 divisors, whose sum is σ = 376477920. Its totient is φ = 27979776.
The previous prime is 106194791. The next prime is 106194817. The reversal of 106194816 is 618491601.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×1061948162 = 22554677890547712, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106194817) 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, 104326 + ... + 105338.
Almost surely, 2106194816 is an apocalyptic number.
106194816 is a gapful number since it is divisible by the number (16) 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 106194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188238960).
106194816 is an abundant number, since it is smaller than the sum of its proper divisors (270283104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106194816 is a wasteful number, since it uses less digits than its factorization.
106194816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1053 (or 1038 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 106194816 is about 10305.0868991969. The cubic root of 106194816 is about 473.5521058823.
The spelling of 106194816 in words is "one hundred six million, one hundred ninety-four thousand, eight hundred sixteen".
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