105253813 has 12 divisors (see below), whose sum is σ = 124751340. Its totient is φ = 88513152.

The previous prime is 105253807. The next prime is 105253829. The reversal of 105253813 is 318352501.

It can be written as a sum of positive squares in 2 ways, for example, as 89832484 + 15421329 = 9478^2 + 3927^2 .

It is not a de Polignac number, because 105253813 - 2⁵ = 105253781 is a prime.

It is a super-2 number, since 2×105253813² = 22156730302077938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105253843) 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 11 ways as a sum of consecutive naturals, for example, 17668 + ... + 22861.

It is an arithmetic number, because the mean of its divisors is an integer number (10395945).

Almost surely, 2^105253813 is an apocalyptic number.

It is an amenable number.

105253813 is a deficient number, since it is larger than the sum of its proper divisors (19497527).

105253813 is an equidigital number, since it uses as much as digits as its factorization.

105253813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40596 (or 40589 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105253813 is about 10259.3280969077. The cubic root of 105253813 is about 472.1492229632.

The spelling of 105253813 in words is "one hundred five million, two hundred fifty-three thousand, eight hundred thirteen".