| Base | Representation |
|---|---|
| bin | 1100100010101… |
| … | …11000010101000 |
| 3 | 21022222102122021 |
| 4 | 12101113002220 |
| 5 | 203413322440 |
| 6 | 14235034224 |
| 7 | 2415206464 |
| oct | 621270250 |
| 9 | 238872567 |
| 10 | 105214120 |
| 11 | 54432a20 |
| 12 | 2b29b974 |
| 13 | 18a4ab9b |
| 14 | dd8b4a4 |
| 15 | 938484a |
| hex | 64570a8 |
105214120 has 128 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 36368640.
The previous prime is 105214111. The next prime is 105214127. The reversal of 105214120 is 21412501.
It is a super-2 number, since 2×1052141202 = 22140022094748800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105214094 and 105214103.
It is not an unprimeable number, because it can be changed into a prime (105214127) 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 31 ways as a sum of consecutive naturals, for example, 1267599 + ... + 1267681.
It is an arithmetic number, because the mean of its divisors is an integer number (2120580).
Almost surely, 2105214120 is an apocalyptic number.
105214120 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 105214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).
105214120 is an abundant number, since it is smaller than the sum of its proper divisors (166220120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105214120 is a wasteful number, since it uses less digits than its factorization.
105214120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 215 (or 211 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 16.
The square root of 105214120 is about 10257.3934310818. The cubic root of 105214120 is about 472.0898636712.
Adding to 105214120 its reverse (21412501), we get a palindrome (126626621).
It can be divided in two parts, 10521 and 4120, that added together give a palindrome (14641).
The spelling of 105214120 in words is "one hundred five million, two hundred fourteen thousand, one hundred twenty".
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