105043402816 has 189 divisors, whose sum is σ = 239173975677. Its totient is φ = 45737556480.

The previous prime is 105043402811. The next prime is 105043402853. The reversal of 105043402816 is 618204340501.

The square root of 105043402816 is 324104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 55082212416 + 49961190400 = 234696^2 + 223520^2 .

It is a super-2 number, since 2×105043402816² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105043402811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 827113345 + ... + 827113471.

Almost surely, 2^105043402816 is an apocalyptic number.

105043402816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105043402816 is the 324104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105043402816

105043402816 is an abundant number, since it is smaller than the sum of its proper divisors (134130572861).

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

105043402816 is an equidigital number, since it uses as much as digits as its factorization.

105043402816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 105043402816 in words is "one hundred five billion, forty-three million, four hundred two thousand, eight hundred sixteen".