| Base | Representation |
|---|---|
| bin | 1100100010101… |
| … | …10100111110000 |
| 3 | 21022222100021120 |
| 4 | 12101112213300 |
| 5 | 203413244100 |
| 6 | 14235022240 |
| 7 | 2415201456 |
| oct | 621264760 |
| 9 | 238870246 |
| 10 | 105212400 |
| 11 | 544316a7 |
| 12 | 2b29a980 |
| 13 | 18a4a177 |
| 14 | dd8a9d6 |
| 15 | 93840a0 |
| hex | 64569f0 |
105212400 has 120 divisors (see below), whose sum is σ = 345037440. Its totient is φ = 27390720.
The previous prime is 105212383. The next prime is 105212479. The reversal of 105212400 is 4212501.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1052124002 = 22139298227520000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 105212400.
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 23 ways as a sum of consecutive naturals, for example, 50581 + ... + 52619.
It is an arithmetic number, because the mean of its divisors is an integer number (2875312).
Almost surely, 2105212400 is an apocalyptic number.
105212400 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 105212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172518720).
105212400 is an abundant number, since it is smaller than the sum of its proper divisors (239825040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105212400 is a wasteful number, since it uses less digits than its factorization.
105212400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2103 (or 2092 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 105212400 is about 10257.3095887762. The cubic root of 105212400 is about 472.0872911427.
Adding to 105212400 its reverse (4212501), we get a palindrome (109424901).
It can be divided in two parts, 10521 and 2400, that added together give a palindrome (12921).
The spelling of 105212400 in words is "one hundred five million, two hundred twelve thousand, four hundred".
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