105811114528300 has 72 divisors (see below), whose sum is σ = 230080864160000. Its totient is φ = 42237680281920.

The previous prime is 105811114528271. The next prime is 105811114528307. The reversal of 105811114528300 is 3825411118501.

It is a super-2 number, since 2×105811114528300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105811114528307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1621867081 + ... + 1621932319.

Almost surely, 2^{105811114528300} is an apocalyptic number.

105811114528300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105811114528300 is an abundant number, since it is smaller than the sum of its proper divisors (124269749631700).

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

105811114528300 is a wasteful number, since it uses less digits than its factorization.

105811114528300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98255 (or 98248 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 40.

The spelling of 105811114528300 in words is "one hundred five trillion, eight hundred eleven billion, one hundred fourteen million, five hundred twenty-eight thousand, three hundred".