Base | Representation |
---|---|
bin | 1100100010101… |
… | …10100110100100 |
3 | 21022222100011202 |
4 | 12101112212210 |
5 | 203413243244 |
6 | 14235022032 |
7 | 2415201320 |
oct | 621264644 |
9 | 238870152 |
10 | 105212324 |
11 | 54431638 |
12 | 2b29a918 |
13 | 18a4a119 |
14 | dd8a980 |
15 | 938404e |
hex | 64569a4 |
105212324 has 12 divisors (see below), whose sum is σ = 210424704. Its totient is φ = 45090984.
The previous prime is 105212323. The next prime is 105212347. The reversal of 105212324 is 423212501.
105212324 is an admirable number.
It is a super-2 number, since 2×1052123242 = 22139266242961952, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105212296 and 105212305.
It is not an unprimeable number, because it can be changed into a prime (105212321) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1878764 + ... + 1878819.
It is an arithmetic number, because the mean of its divisors is an integer number (17535392).
Almost surely, 2105212324 is an apocalyptic number.
105212324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
105212324 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105212324 is a wasteful number, since it uses less digits than its factorization.
105212324 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3757594 (or 3757592 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
The square root of 105212324 is about 10257.3058841004. The cubic root of 105212324 is about 472.0871774721.
Adding to 105212324 its reverse (423212501), we get a palindrome (528424825).
The spelling of 105212324 in words is "one hundred five million, two hundred twelve thousand, three hundred twenty-four".
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