105005014452 has 288 divisors, whose sum is σ = 319455601920. Its totient is φ = 28730142720.

The previous prime is 105005014417. The next prime is 105005014459. The reversal of 105005014452 is 254410500501.

105005014452 is a `hidden beast` number, since 10 + 500 + 5 + 0 + 144 + 5 + 2 = 666.

It is a super-2 number, since 2×105005014452² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005014459) 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 95 ways as a sum of consecutive naturals, for example, 76034802 + ... + 76036182.

It is an arithmetic number, because the mean of its divisors is an integer number (1109220840).

Almost surely, 2^105005014452 is an apocalyptic number.

105005014452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105005014452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159727800960).

105005014452 is an abundant number, since it is smaller than the sum of its proper divisors (214450587468).

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

105005014452 is a wasteful number, since it uses less digits than its factorization.

105005014452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 105005014452 its reverse (254410500501), we get a palindrome (359415514953).

The spelling of 105005014452 in words is "one hundred five billion, five million, fourteen thousand, four hundred fifty-two".