| Base | Representation |
|---|---|
| bin | 1100100010101… |
| … | …10000110111100 |
| 3 | 21022222020101210 |
| 4 | 12101112012330 |
| 5 | 203413212200 |
| 6 | 14235004420 |
| 7 | 2415162366 |
| oct | 621260674 |
| 9 | 238866353 |
| 10 | 105210300 |
| 11 | 54430068 |
| 12 | 2b299710 |
| 13 | 18a49220 |
| 14 | dd89d36 |
| 15 | 9383650 |
| hex | 64561bc |
105210300 has 144 divisors (see below), whose sum is σ = 334666080. Its totient is φ = 25359360.
The previous prime is 105210269. The next prime is 105210317. The reversal of 105210300 is 3012501.
It is a super-2 number, since 2×1052103002 = 22138414452180000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206446 + ... + 206954.
It is an arithmetic number, because the mean of its divisors is an integer number (2324070).
Almost surely, 2105210300 is an apocalyptic number.
105210300 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 105210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).
105210300 is an abundant number, since it is smaller than the sum of its proper divisors (229455780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105210300 is a wasteful number, since it uses less digits than its factorization.
With its successor (105210301) it forms an eRAP, since the sums of their prime factors are consecutive (592 and 593).
105210300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 592 (or 585 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 12.
The square root of 105210300 is about 10257.2072222413. The cubic root of 105210300 is about 472.0841502267.
Adding to 105210300 its reverse (3012501), we get a palindrome (108222801).
The spelling of 105210300 in words is "one hundred five million, two hundred ten thousand, three hundred".
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