| Base | Representation |
|---|---|
| bin | 1100101010000… |
| … | …01011010000000 |
| 3 | 21101210012110100 |
| 4 | 12111001122000 |
| 5 | 204140032310 |
| 6 | 14311402400 |
| 7 | 2426315265 |
| oct | 625013200 |
| 9 | 241705410 |
| 10 | 106174080 |
| 11 | 54a29181 |
| 12 | 2b683400 |
| 13 | 18cc5acc |
| 14 | 1015b26c |
| 15 | 94c3ec0 |
| hex | 6541680 |
106174080 has 96 divisors (see below), whose sum is σ = 366652260. Its totient is φ = 28311552.
The previous prime is 106174073. The next prime is 106174087. The reversal of 106174080 is 80471601.
It is a happy number.
106174080 is a `hidden beast` number, since 1 + 0 + 617 + 40 + 8 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (106174073) and next prime (106174087).
It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 166464 = 10296^2 + 408^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1061740802 = 22545870527692800, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106174087) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3457 + ... + 14976.
Almost surely, 2106174080 is an apocalyptic number.
106174080 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 106174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183326130).
106174080 is an abundant number, since it is smaller than the sum of its proper divisors (260478180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106174080 is a wasteful number, since it uses less digits than its factorization.
106174080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18458 (or 18443 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 106174080 is about 10304.0807450252. The cubic root of 106174080 is about 473.5212813530.
The spelling of 106174080 in words is "one hundred six million, one hundred seventy-four thousand, eighty".
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