105222521200 has 240 divisors, whose sum is σ = 267326059680. Its totient is φ = 39744552960.

The previous prime is 105222521161. The next prime is 105222521219. The reversal of 105222521200 is 2125222501.

It is a super-2 number, since 2×105222521200² (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 47 ways as a sum of consecutive naturals, for example, 116011147 + ... + 116012053.

It is an arithmetic number, because the mean of its divisors is an integer number (1113858582).

Almost surely, 2^105222521200 is an apocalyptic number.

105222521200 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 105222521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133663029840).

105222521200 is an abundant number, since it is smaller than the sum of its proper divisors (162103538480).

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

105222521200 is a wasteful number, since it uses less digits than its factorization.

105222521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 105222521200 its reverse (2125222501), we get a palindrome (107347743701).

The spelling of 105222521200 in words is "one hundred five billion, two hundred twenty-two million, five hundred twenty-one thousand, two hundred".