105500203200 has 504 divisors, whose sum is σ = 429381566432. Its totient is φ = 24067031040.

The previous prime is 105500203181. The next prime is 105500203201. The reversal of 105500203200 is 2302005501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×105500203200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105500203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94449042 + ... + 94450158.

Almost surely, 2^105500203200 is an apocalyptic number.

105500203200 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 105500203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214690783216).

105500203200 is an abundant number, since it is smaller than the sum of its proper divisors (323881363232).

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

105500203200 is a wasteful number, since it uses less digits than its factorization.

105500203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 105500203200 its reverse (2302005501), we get a palindrome (107802208701).

The spelling of 105500203200 in words is "one hundred five billion, five hundred million, two hundred three thousand, two hundred".