105043152480 has 192 divisors, whose sum is σ = 378568608768. Its totient is φ = 23983626240.

The previous prime is 105043152457. The next prime is 105043152493. The reversal of 105043152480 is 84251340501.

It is a super-2 number, since 2×105043152480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3145149 + ... + 3178371.

It is an arithmetic number, because the mean of its divisors is an integer number (1971711504).

Almost surely, 2^105043152480 is an apocalyptic number.

105043152480 is a gapful number since it is divisible by the number (10) 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 105043152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189284304384).

105043152480 is an abundant number, since it is smaller than the sum of its proper divisors (273525456288).

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

105043152480 is a wasteful number, since it uses less digits than its factorization.

105043152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34189 (or 34181 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 105043152480 its reverse (84251340501), we get a palindrome (189294492981).

The spelling of 105043152480 in words is "one hundred five billion, forty-three million, one hundred fifty-two thousand, four hundred eighty".