105034224520 has 64 divisors (see below), whose sum is σ = 249093532800. Its totient is φ = 39749921280.

The previous prime is 105034224467. The next prime is 105034224527. The reversal of 105034224520 is 25422430501.

It is a super-2 number, since 2×105034224520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105034224527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487557 + ... + 669163.

It is an arithmetic number, because the mean of its divisors is an integer number (3892086450).

Almost surely, 2^105034224520 is an apocalyptic number.

105034224520 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 105034224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124546766400).

105034224520 is an abundant number, since it is smaller than the sum of its proper divisors (144059308280).

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

105034224520 is a wasteful number, since it uses less digits than its factorization.

105034224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182398 (or 182394 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 105034224520 in words is "one hundred five billion, thirty-four million, two hundred twenty-four thousand, five hundred twenty".