| Base | Representation |
|---|---|
| bin | 1100101010001… |
| … | …01101110111000 |
| 3 | 21101211002202122 |
| 4 | 12111011232320 |
| 5 | 204141114200 |
| 6 | 14312020412 |
| 7 | 2426421041 |
| oct | 625055670 |
| 9 | 241732678 |
| 10 | 106191800 |
| 11 | 54a40520 |
| 12 | 2b691708 |
| 13 | 19000bb0 |
| 14 | 101638c8 |
| 15 | 94c9385 |
| hex | 6545bb8 |
106191800 has 192 divisors, whose sum is σ = 299980800. Its totient is φ = 34444800.
The previous prime is 106191797. The next prime is 106191803. The reversal of 106191800 is 8191601.
It is an interprime number because it is at equal distance from previous prime (106191797) and next prime (106191803).
It is a super-2 number, since 2×1061918002 = 22553396774480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a self number, because there is not a number n which added to its sum of digits gives 106191800.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106191803) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344161 + ... + 1344239.
It is an arithmetic number, because the mean of its divisors is an integer number (1562400).
Almost surely, 2106191800 is an apocalyptic number.
106191800 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 106191800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).
106191800 is an abundant number, since it is smaller than the sum of its proper divisors (193789000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106191800 is a wasteful number, since it uses less digits than its factorization.
106191800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 166 (or 157 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 26.
The square root of 106191800 is about 10304.9405626622. The cubic root of 106191800 is about 473.5476227800.
The spelling of 106191800 in words is "one hundred six million, one hundred ninety-one thousand, eight hundred".
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