105767252 has 6 divisors (see below), whose sum is σ = 185092698. Its totient is φ = 52883624.

The previous prime is 105767239. The next prime is 105767261. The reversal of 105767252 is 252767501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 97495876 + 8271376 = 9874^2 + 2876^2 .

It is a super-2 number, since 2×105767252² = 22373423191263008, which contains 22 as substring.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 13220903 + ... + 13220910.

It is an arithmetic number, because the mean of its divisors is an integer number (30848783).

Almost surely, 2^105767252 is an apocalyptic number.

It is an amenable number.

105767252 is a deficient number, since it is larger than the sum of its proper divisors (79325446).

105767252 is a wasteful number, since it uses less digits than its factorization.

105767252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26441817 (or 26441815 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 105767252 is about 10284.3206873376. The cubic root of 105767252 is about 472.9157089136.

The spelling of 105767252 in words is "one hundred five million, seven hundred sixty-seven thousand, two hundred fifty-two".