| Base | Representation |
|---|---|
| bin | 1100100010101… |
| … | …01001010000000 |
| 3 | 21022222001001100 |
| 4 | 12101111022000 |
| 5 | 203413101100 |
| 6 | 14234534400 |
| 7 | 2415145125 |
| oct | 621251200 |
| 9 | 238861040 |
| 10 | 105206400 |
| 11 | 54428142 |
| 12 | 2b297400 |
| 13 | 18a47510 |
| 14 | dd8874c |
| 15 | 9382400 |
| hex | 6455280 |
105206400 has 288 divisors, whose sum is σ = 405716220. Its totient is φ = 25804800.
The previous prime is 105206389. The next prime is 105206407. The reversal of 105206400 is 4602501.
It is a happy number.
105206400 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 640 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 27625536 + 77580864 = 5256^2 + 8808^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1052064002 = 22136773201920000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (105206407) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374260 + ... + 374540.
Almost surely, 2105206400 is an apocalyptic number.
105206400 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 105206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202858110).
105206400 is an abundant number, since it is smaller than the sum of its proper divisors (300509820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105206400 is a wasteful number, since it uses less digits than its factorization.
105206400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 324 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 105206400 is about 10257.0171102519. The cubic root of 105206400 is about 472.0783169863.
Adding to 105206400 its reverse (4602501), we get a palindrome (109808901).
The spelling of 105206400 in words is "one hundred five million, two hundred six thousand, four hundred".
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