105252311353 has 16 divisors (see below), whose sum is σ = 123143950336. Its totient is φ = 88076555280.

The previous prime is 105252311317. The next prime is 105252311369. The reversal of 105252311353 is 353113252501.

It is not a de Polignac number, because 105252311353 - 2³³ = 96662376761 is a prime.

It is a super-2 number, since 2×105252311353² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105252311303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563458 + ... + 726628.

It is an arithmetic number, because the mean of its divisors is an integer number (7696496896).

Almost surely, 2^105252311353 is an apocalyptic number.

It is an amenable number.

105252311353 is a deficient number, since it is larger than the sum of its proper divisors (17891638983).

105252311353 is a wasteful number, since it uses less digits than its factorization.

105252311353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165364.

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 105252311353 its reverse (353113252501), we get a palindrome (458365563854).

The spelling of 105252311353 in words is "one hundred five billion, two hundred fifty-two million, three hundred eleven thousand, three hundred fifty-three".