105312543 has 48 divisors (see below), whose sum is σ = 170576640. Its totient is φ = 56593152.

The previous prime is 105312533. The next prime is 105312551. The reversal of 105312543 is 345213501.

It is not a de Polignac number, because 105312543 - 2⁴ = 105312527 is a prime.

It is a super-2 number, since 2×105312543² = 22181463426253698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105312533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183243 + ... + 1183331.

It is an arithmetic number, because the mean of its divisors is an integer number (3553680).

Almost surely, 2^105312543 is an apocalyptic number.

105312543 is a deficient number, since it is larger than the sum of its proper divisors (65264097).

105312543 is an equidigital number, since it uses as much as digits as its factorization.

105312543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105312543 is about 10262.1899709565. The cubic root of 105312543 is about 472.2370239564.

The spelling of 105312543 in words is "one hundred five million, three hundred twelve thousand, five hundred forty-three".