105452035512200 has 384 divisors, whose sum is σ = 274756183228800. Its totient is φ = 37392161464320.

The previous prime is 105452035512151. The next prime is 105452035512281. The reversal of 105452035512200 is 2215530254501.

It is a happy number.

It is a super-2 number, since 2×105452035512200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1894308767 + ... + 1894364433.

It is an arithmetic number, because the mean of its divisors is an integer number (715510893825).

Almost surely, 2^{105452035512200} is an apocalyptic number.

105452035512200 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 105452035512200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137378091614400).

105452035512200 is an abundant number, since it is smaller than the sum of its proper divisors (169304147716600).

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

105452035512200 is a wasteful number, since it uses less digits than its factorization.

105452035512200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56041 (or 56032 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 105452035512200 its reverse (2215530254501), we get a palindrome (107667565766701).

The spelling of 105452035512200 in words is "one hundred five trillion, four hundred fifty-two billion, thirty-five million, five hundred twelve thousand, two hundred".