105024252 has 24 divisors (see below), whose sum is σ = 245222656. Its totient is φ = 34984368.

The previous prime is 105024203. The next prime is 105024253. The reversal of 105024252 is 252420501.

It is a happy number.

It is a super-2 number, since 2×105024252² = 22060187016319008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105024253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31623 + ... + 34785.

Almost surely, 2^105024252 is an apocalyptic number.

105024252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105024252 is an abundant number, since it is smaller than the sum of its proper divisors (140198404).

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

105024252 is a wasteful number, since it uses less digits than its factorization.

105024252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105024252 is about 10248.1340740644. The cubic root of 105024252 is about 471.8057169862.

Adding to 105024252 its reverse (252420501), we get a palindrome (357444753).

The spelling of 105024252 in words is "one hundred five million, twenty-four thousand, two hundred fifty-two".