105224625200 has 60 divisors (see below), whose sum is σ = 253491349920. Its totient is φ = 41975105280.

The previous prime is 105224625137. The next prime is 105224625203. The reversal of 105224625200 is 2526422501.

105224625200 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 2×105224625200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105224625203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211595 + ... + 505194.

It is an arithmetic number, because the mean of its divisors is an integer number (4224855832).

Almost surely, 2^105224625200 is an apocalyptic number.

105224625200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105224625200 is an abundant number, since it is smaller than the sum of its proper divisors (148266724720).

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

105224625200 is a wasteful number, since it uses less digits than its factorization.

105224625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717174 (or 717163 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 105224625200 in words is "one hundred five billion, two hundred twenty-four million, six hundred twenty-five thousand, two hundred".