| Base | Representation |
|---|---|
| bin | 1100100110010… |
| … | …10110000010000 |
| 3 | 21100212111210100 |
| 4 | 12103022300100 |
| 5 | 204024004310 |
| 6 | 14253132400 |
| 7 | 2422222341 |
| oct | 623126020 |
| 9 | 240774710 |
| 10 | 105688080 |
| 11 | 54727023 |
| 12 | 2b48a100 |
| 13 | 18b85834 |
| 14 | 100720c8 |
| 15 | 9429ec0 |
| hex | 64cac10 |
105688080 has 120 divisors (see below), whose sum is σ = 357041880. Its totient is φ = 28016640.
The previous prime is 105688069. The next prime is 105688081. The reversal of 105688080 is 80886501.
105688080 is a `hidden beast` number, since 10 + 568 + 8 + 0 + 80 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 56070144 + 49617936 = 7488^2 + 7044^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1056880802 = 22339940508172800, 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 (105688081) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164560 + ... + 165200.
It is an arithmetic number, because the mean of its divisors is an integer number (2975349).
Almost surely, 2105688080 is an apocalyptic number.
105688080 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 105688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178520940).
105688080 is an abundant number, since it is smaller than the sum of its proper divisors (251353800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105688080 is a wasteful number, since it uses less digits than its factorization.
105688080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 889 (or 880 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 36.
The square root of 105688080 is about 10280.4708063396. The cubic root of 105688080 is about 472.7976792211.
The spelling of 105688080 in words is "one hundred five million, six hundred eighty-eight thousand, eighty".
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