| Base | Representation |
|---|---|
| bin | 1100100011100… |
| … | …11101100000100 |
| 3 | 21100012101121012 |
| 4 | 12101303230010 |
| 5 | 203431101320 |
| 6 | 14241341352 |
| 7 | 2416205543 |
| oct | 621635404 |
| 9 | 240171535 |
| 10 | 105331460 |
| 11 | 545030a3 |
| 12 | 2b337858 |
| 13 | 18a8c410 |
| 14 | ddbc15a |
| 15 | 93a94c5 |
| hex | 6473b04 |
105331460 has 72 divisors (see below), whose sum is σ = 245176008. Its totient is φ = 37785600.
The previous prime is 105331453. The next prime is 105331469. The reversal of 105331460 is 64133501.
It is a happy number.
It can be written as a sum of positive squares in 12 ways, for example, as 82882816 + 22448644 = 9104^2 + 4738^2 .
It is a super-2 number, since 2×1053314602 = 22189432931463200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105331469) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436940 + ... + 437180.
Almost surely, 2105331460 is an apocalyptic number.
105331460 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 105331460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122588004).
105331460 is an abundant number, since it is smaller than the sum of its proper divisors (139844548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105331460 is a wasteful number, since it uses less digits than its factorization.
105331460 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 345 (or 302 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 23.
The square root of 105331460 is about 10263.1116139307. Note that the first 3 decimals coincide. The cubic root of 105331460 is about 472.2652978058.
Adding to 105331460 its reverse (64133501), we get a palindrome (169464961).
The spelling of 105331460 in words is "one hundred five million, three hundred thirty-one thousand, four hundred sixty".
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