105305352 has 32 divisors (see below), whose sum is σ = 265344000. Its totient is φ = 34824384.

The previous prime is 105305297. The next prime is 105305363. The reversal of 105305352 is 253503501.

It is a super-2 number, since 2×105305352² = 22178434319687808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14227 + ... + 20322.

It is an arithmetic number, because the mean of its divisors is an integer number (8292000).

Almost surely, 2^105305352 is an apocalyptic number.

105305352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105305352 is an abundant number, since it is smaller than the sum of its proper divisors (160038648).

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

105305352 is a wasteful number, since it uses less digits than its factorization.

105305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34685 (or 34681 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 105305352 is about 10261.8396011631. The cubic root of 105305352 is about 472.2262752091.

Adding to 105305352 its reverse (253503501), we get a palindrome (358808853).

The spelling of 105305352 in words is "one hundred five million, three hundred five thousand, three hundred fifty-two".