105220245200 has 60 divisors (see below), whose sum is σ = 288904738080. Its totient is φ = 36075511680.

The previous prime is 105220245161. The next prime is 105220245203. The reversal of 105220245200 is 2542022501.

It is a super-2 number, since 2×105220245200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105220245203) 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, 18786530 + ... + 18792129.

It is an arithmetic number, because the mean of its divisors is an integer number (4815078968).

Almost surely, 2^105220245200 is an apocalyptic number.

105220245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105220245200 is an abundant number, since it is smaller than the sum of its proper divisors (183684492880).

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

105220245200 is a wasteful number, since it uses less digits than its factorization.

105220245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37578684 (or 37578673 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 105220245200 its reverse (2542022501), we get a palindrome (107762267701).

The spelling of 105220245200 in words is "one hundred five billion, two hundred twenty million, two hundred forty-five thousand, two hundred".