105005352 has 32 divisors (see below), whose sum is σ = 262846080. Its totient is φ = 34957440.

The previous prime is 105005333. The next prime is 105005353. The reversal of 105005352 is 253500501.

It is a super-2 number, since 2×105005352² = 22052247897287808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20577 + ... + 25167.

It is an arithmetic number, because the mean of its divisors is an integer number (8213940).

Almost surely, 2^105005352 is an apocalyptic number.

105005352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105005352 is an abundant number, since it is smaller than the sum of its proper divisors (157840728).

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

105005352 is a wasteful number, since it uses less digits than its factorization.

105005352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 105005352 is about 10247.2119134914. The cubic root of 105005352 is about 471.7774134822. Note that the first 3 decimals are identical.

Adding to 105005352 its reverse (253500501), we get a palindrome (358505853).

The spelling of 105005352 in words is "one hundred five million, five thousand, three hundred fifty-two".