105305472 has 48 divisors (see below), whose sum is σ = 303030780. Its totient is φ = 35101440.

The previous prime is 105305413. The next prime is 105305489. The reversal of 105305472 is 274503501.

It is a happy number.

105305472 is a `hidden beast` number, since 10 + 530 + 54 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105305472² = 22178484866285568, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 44554 + ... + 46857.

Almost surely, 2^105305472 is an apocalyptic number.

105305472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105305472 is an abundant number, since it is smaller than the sum of its proper divisors (197725308).

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

105305472 is an equidigital number, since it uses as much as digits as its factorization.

105305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91431 (or 91416 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105305472 is about 10261.8454480663. The cubic root of 105305472 is about 472.2264545831.

Adding to 105305472 its reverse (274503501), we get a palindrome (379808973).

The spelling of 105305472 in words is "one hundred five million, three hundred five thousand, four hundred seventy-two".