| Base | Representation |
|---|---|
| bin | 100110100011… |
| … | …100000000000 |
| 3 | 201000111000220 |
| 4 | 212203200000 |
| 5 | 10041410010 |
| 6 | 1000343040 |
| 7 | 151623060 |
| oct | 46434000 |
| 9 | 21014026 |
| 10 | 10106880 |
| 11 | 57834a3 |
| 12 | 3474a80 |
| 13 | 212b404 |
| 14 | 14b13a0 |
| 15 | d49970 |
| hex | 9a3800 |
10106880 has 192 divisors, whose sum is σ = 37739520. Its totient is φ = 2260992.
The previous prime is 10106851. The next prime is 10106881. The reversal of 10106880 is 8860101.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 10106880.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10106881) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215017 + ... + 215063.
It is an arithmetic number, because the mean of its divisors is an integer number (196560).
Almost surely, 210106880 is an apocalyptic number.
10106880 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 10106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).
10106880 is an abundant number, since it is smaller than the sum of its proper divisors (27632640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10106880 is an equidigital number, since it uses as much as digits as its factorization.
10106880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 24.
The square root of 10106880 is about 3179.1319569971. The cubic root of 10106880 is about 216.2083038546.
Adding to 10106880 its reverse (8860101), we get a palindrome (18966981).
The spelling of 10106880 in words is "ten million, one hundred six thousand, eight hundred eighty".
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