105344450416 has 20 divisors (see below), whose sum is σ = 205573257400. Its totient is φ = 52293287232.

The previous prime is 105344450413. The next prime is 105344450429. The reversal of 105344450416 is 614054443501.

It is a super-3 number, since 3×105344450416³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344450413) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 23681331 + ... + 23685778.

It is an arithmetic number, because the mean of its divisors is an integer number (10278662870).

Almost surely, 2^105344450416 is an apocalyptic number.

105344450416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105344450416 is a deficient number, since it is larger than the sum of its proper divisors (100228806984).

105344450416 is a wasteful number, since it uses less digits than its factorization.

105344450416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47367256 (or 47367250 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 105344450416 its reverse (614054443501), we get a palindrome (719398893917).

The spelling of 105344450416 in words is "one hundred five billion, three hundred forty-four million, four hundred fifty thousand, four hundred sixteen".