105403360 has 48 divisors (see below), whose sum is σ = 252047376. Its totient is φ = 41648128.

The previous prime is 105403357. The next prime is 105403367. The reversal of 105403360 is 63304501.

It is a super-2 number, since 2×105403360² = 22219736598579200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105403367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9312 + ... + 17248.

It is an arithmetic number, because the mean of its divisors is an integer number (5250987).

Almost surely, 2^105403360 is an apocalyptic number.

105403360 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 105403360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126023688).

105403360 is an abundant number, since it is smaller than the sum of its proper divisors (146644016).

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

105403360 is an equidigital number, since it uses as much as digits as its factorization.

105403360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 105403360 is about 10266.6138526780. The cubic root of 105403360 is about 472.3727305762.

Adding to 105403360 its reverse (63304501), we get a palindrome (168707861).

The spelling of 105403360 in words is "one hundred five million, four hundred three thousand, three hundred sixty".