105500236864 has 63 divisors (see below), whose sum is σ = 230176579143. Its totient is φ = 47941660800.

The previous prime is 105500236847. The next prime is 105500236903. The reversal of 105500236864 is 468632005501.

The square root of 105500236864 is 324808.

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

105500236864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105500236864² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28581259 + ... + 28584949.

Almost surely, 2^105500236864 is an apocalyptic number.

105500236864 is the 324808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105500236864

105500236864 is an abundant number, since it is smaller than the sum of its proper divisors (124676342279).

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

105500236864 is an frugal number, since it uses more digits than its factorization.

105500236864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 105500236864 in words is "one hundred five billion, five hundred million, two hundred thirty-six thousand, eight hundred sixty-four".