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105472 = 210103
BaseRepresentation
bin11001110000000000
312100200101
4121300000
511333342
62132144
7616333
oct316000
9170611
10105472
1172274
1251054
1339013
142a61a
15213b7
hex19c00

105472 has 22 divisors (see below), whose sum is σ = 212888. Its totient is φ = 52224.

The previous prime is 105467. The next prime is 105491. The reversal of 105472 is 274501.

It is a super-2 number, since 2×1054722 = 22248685568, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

105472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 973 + ... + 1075.

2105472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444).

105472 is an abundant number, since it is smaller than the sum of its proper divisors (107416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105472 is an equidigital number, since it uses as much as digits as its factorization.

105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 105472 is about 324.7645300830. The cubic root of 105472 is about 47.2475246690.

Adding to 105472 its reverse (274501), we get a palindrome (379973).

The spelling of 105472 in words is "one hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1648 3296 6592 13184 26368 52736 105472