105404320 has 48 divisors (see below), whose sum is σ = 284594688. Its totient is φ = 36138240.

The previous prime is 105404293. The next prime is 105404347. The reversal of 105404320 is 23404501.

It is an interprime number because it is at equal distance from previous prime (105404293) and next prime (105404347).

It is a super-3 number, since 3×105404320³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 14.

It is an unprimeable number.

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, 45936 + ... + 48175.

It is an arithmetic number, because the mean of its divisors is an integer number (5929056).

Almost surely, 2^105404320 is an apocalyptic number.

105404320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105404320 is an abundant number, since it is smaller than the sum of its proper divisors (179190368).

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

105404320 is an equidigital number, since it uses as much as digits as its factorization.

105404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94133 (or 94125 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 105404320 is about 10266.6606060588. The cubic root of 105404320 is about 472.3741646748.

Adding to 105404320 its reverse (23404501), we get a palindrome (128808821).

The spelling of 105404320 in words is "one hundred five million, four hundred four thousand, three hundred twenty".