105025300224 has 144 divisors (see below), whose sum is σ = 301263295872. Its totient is φ = 32289583104.

The previous prime is 105025300169. The next prime is 105025300243. The reversal of 105025300224 is 422003520501.

It is a super-2 number, since 2×105025300224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105025300194 and 105025300203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15202179 + ... + 15209085.

Almost surely, 2^105025300224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105025300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150631647936).

105025300224 is an abundant number, since it is smaller than the sum of its proper divisors (196237995648).

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

105025300224 is a wasteful number, since it uses less digits than its factorization.

105025300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 105025300224 its reverse (422003520501), we get a palindrome (527028820725).

The spelling of 105025300224 in words is "one hundred five billion, twenty-five million, three hundred thousand, two hundred twenty-four".