105564004434 has 40 divisors (see below), whose sum is σ = 270333220608. Its totient is φ = 30161143800.

The previous prime is 105564004433. The next prime is 105564004487. The reversal of 105564004434 is 434400465501.

105564004434 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 640 + 0 + 4 + 4 + 3 + 4 = 666.

It is a super-2 number, since 2×105564004434² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105564004433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46543842 + ... + 46546109.

Almost surely, 2^105564004434 is an apocalyptic number.

105564004434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105564004434 is an abundant number, since it is smaller than the sum of its proper divisors (164769216174).

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

105564004434 is an equidigital number, since it uses as much as digits as its factorization.

105564004434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93089972 (or 93089963 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 105564004434 its reverse (434400465501), we get a palindrome (539964469935).

The spelling of 105564004434 in words is "one hundred five billion, five hundred sixty-four million, four thousand, four hundred thirty-four".