105243405 has 16 divisors (see below), whose sum is σ = 170522880. Its totient is φ = 55418688.

The previous prime is 105243389. The next prime is 105243409. The reversal of 105243405 is 504342501.

It is not a de Polignac number, because 105243405 - 2⁴ = 105243389 is a prime.

It is a super-2 number, since 2×105243405² = 22152348591988050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105243409) 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 15 ways as a sum of consecutive naturals, for example, 43222 + ... + 45591.

It is an arithmetic number, because the mean of its divisors is an integer number (10657680).

Almost surely, 2^105243405 is an apocalyptic number.

105243405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105243405 is a deficient number, since it is larger than the sum of its proper divisors (65279475).

105243405 is an equidigital number, since it uses as much as digits as its factorization.

105243405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88900.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105243405 is about 10258.8208386734. The cubic root of 105243405 is about 472.1336596597.

Adding to 105243405 its reverse (504342501), we get a palindrome (609585906).

The spelling of 105243405 in words is "one hundred five million, two hundred forty-three thousand, four hundred five".