105220915200 has 1080 divisors, whose sum is σ = 422140668768. Its totient is φ = 24914165760.

The previous prime is 105220914949. The next prime is 105220915229. The reversal of 105220915200 is 2519022501.

105220915200 is a `hidden beast` number, since 1 + 0 + 52 + 2 + 0 + 91 + 520 + 0 = 666.

It is a super-2 number, since 2×105220915200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1441382364 + ... + 1441382436.

Almost surely, 2^105220915200 is an apocalyptic number.

105220915200 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 105220915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211070334384).

105220915200 is an abundant number, since it is smaller than the sum of its proper divisors (316919753568).

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

105220915200 is a wasteful number, since it uses less digits than its factorization.

105220915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 105220915200 its reverse (2519022501), we get a palindrome (107739937701).

The spelling of 105220915200 in words is "one hundred five billion, two hundred twenty million, nine hundred fifteen thousand, two hundred".