Base | Representation |
---|---|
bin | 1100100100010… |
… | …01100100000000 |
3 | 21100100221111120 |
4 | 12102021210000 |
5 | 203441433211 |
6 | 14243312240 |
7 | 2420031006 |
oct | 622114400 |
9 | 240327446 |
10 | 105421056 |
11 | 54564444 |
12 | 2b37b680 |
13 | 18ac1130 |
14 | 10002a76 |
15 | 93c5d06 |
hex | 6489900 |
105421056 has 72 divisors (see below), whose sum is σ = 302184960. Its totient is φ = 32434176.
The previous prime is 105421051. The next prime is 105421087. The reversal of 105421056 is 650124501.
It is a super-2 number, since 2×1054210562 = 22227198096310272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (105421051) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4705 + ... + 15263.
Almost surely, 2105421056 is an apocalyptic number.
105421056 is a gapful number since it is divisible by the number (16) 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 105421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092480).
105421056 is an abundant number, since it is smaller than the sum of its proper divisors (196763904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105421056 is a wasteful number, since it uses less digits than its factorization.
105421056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10591 (or 10577 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 24.
The square root of 105421056 is about 10267.4756391238. The cubic root of 105421056 is about 472.3991643954.
Adding to 105421056 its reverse (650124501), we get a palindrome (755545557).
The spelling of 105421056 in words is "one hundred five million, four hundred twenty-one thousand, fifty-six".
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