105416005434 has 16 divisors (see below), whose sum is σ = 210878719680. Its totient is φ = 35130883680.

The previous prime is 105416005421. The next prime is 105416005537. The reversal of 105416005434 is 434500614501.

It is a super-2 number, since 2×105416005434² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105416005395 and 105416005404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1916827 + ... + 1971054.

It is an arithmetic number, because the mean of its divisors is an integer number (13179919980).

Almost surely, 2^105416005434 is an apocalyptic number.

105416005434 is an abundant number, since it is smaller than the sum of its proper divisors (105462714246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105416005434 is a wasteful number, since it uses less digits than its factorization.

105416005434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892405.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 105416005434 its reverse (434500614501), we get a palindrome (539916619935).

The spelling of 105416005434 in words is "one hundred five billion, four hundred sixteen million, five thousand, four hundred thirty-four".