105205252 has 6 divisors (see below), whose sum is σ = 184109198. Its totient is φ = 52602624.

The previous prime is 105205249. The next prime is 105205267. The reversal of 105205252 is 252502501.

It can be written as a sum of positive squares in only one way, i.e., 65060356 + 40144896 = 8066^2 + 6336^2 .

It is a super-2 number, since 2×105205252² = 22136290096767008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13150653 + ... + 13150660.

Almost surely, 2^105205252 is an apocalyptic number.

It is an amenable number.

105205252 is a deficient number, since it is larger than the sum of its proper divisors (78903946).

105205252 is a wasteful number, since it uses less digits than its factorization.

105205252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26301317 (or 26301315 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 105205252 is about 10256.9611484104. The cubic root of 105205252 is about 472.0765998921.

Adding to 105205252 its reverse (252502501), we get a palindrome (357707753).

The spelling of 105205252 in words is "one hundred five million, two hundred five thousand, two hundred fifty-two".