105021252 has 48 divisors (see below), whose sum is σ = 311176320. Its totient is φ = 30005856.

The previous prime is 105021247. The next prime is 105021271. The reversal of 105021252 is 252120501.

It is a super-2 number, since 2×105021252² = 22058926743295008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 68703 + ... + 70214.

It is an arithmetic number, because the mean of its divisors is an integer number (6482840).

Almost surely, 2^105021252 is an apocalyptic number.

105021252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105021252 is an abundant number, since it is smaller than the sum of its proper divisors (206155068).

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

105021252 is a wasteful number, since it uses less digits than its factorization.

105021252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138937 (or 138929 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105021252 is about 10247.9877049107. The cubic root of 105021252 is about 471.8012245932.

Adding to 105021252 its reverse (252120501), we get a palindrome (357141753).

The spelling of 105021252 in words is "one hundred five million, twenty-one thousand, two hundred fifty-two".