105434234444 has 48 divisors (see below), whose sum is σ = 230086434816. Its totient is φ = 41069683200.

The previous prime is 105434234443. The next prime is 105434234459. The reversal of 105434234444 is 444432434501.

It is a super-2 number, since 2×105434234444² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105434234398 and 105434234407.

It is not an unprimeable number, because it can be changed into a prime (105434234443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553909 + ... + 1620339.

It is an arithmetic number, because the mean of its divisors is an integer number (4793467392).

Almost surely, 2^105434234444 is an apocalyptic number.

105434234444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105434234444 is an abundant number, since it is smaller than the sum of its proper divisors (124652200372).

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

105434234444 is a wasteful number, since it uses less digits than its factorization.

105434234444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71606 (or 71604 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 105434234444 its reverse (444432434501), we get a palindrome (549866668945).

The spelling of 105434234444 in words is "one hundred five billion, four hundred thirty-four million, two hundred thirty-four thousand, four hundred forty-four".