105843512896 has 63 divisors (see below), whose sum is σ = 230925424737. Its totient is φ = 48097674240.

The previous prime is 105843512861. The next prime is 105843512899. The reversal of 105843512896 is 698215348501.

It is a happy number.

The square root of 105843512896 is 325336.

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

105843512896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9455617600 + 96387895296 = 97240^2 + 310464^2 .

It is a super-2 number, since 2×105843512896² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105843512899) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28627720 + ... + 28631416.

Almost surely, 2^105843512896 is an apocalyptic number.

105843512896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105843512896 is the 325336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105843512896

105843512896 is an abundant number, since it is smaller than the sum of its proper divisors (125081911841).

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

105843512896 is an frugal number, since it uses more digits than its factorization.

105843512896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 105843512896 in words is "one hundred five billion, eight hundred forty-three million, five hundred twelve thousand, eight hundred ninety-six".