105305252 has 18 divisors (see below), whose sum is σ = 199551618. Its totient is φ = 48602112.

The previous prime is 105305197. The next prime is 105305269. The reversal of 105305252 is 252503501.

It can be written as a sum of positive squares in 3 ways, for example, as 119716 + 105185536 = 346^2 + 10256^2 .

It is a super-2 number, since 2×105305252² = 22178392197567008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77213 + ... + 78564.

It is an arithmetic number, because the mean of its divisors is an integer number (11086201).

Almost surely, 2^105305252 is an apocalyptic number.

It is an amenable number.

105305252 is a deficient number, since it is larger than the sum of its proper divisors (94246366).

105305252 is a wasteful number, since it uses less digits than its factorization.

105305252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155807 (or 155792 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 105305252 is about 10261.8347287412. The cubic root of 105305252 is about 472.2261257306.

Adding to 105305252 its reverse (252503501), we get a palindrome (357808753).

The spelling of 105305252 in words is "one hundred five million, three hundred five thousand, two hundred fifty-two".