105034505200 has 120 divisors (see below), whose sum is σ = 259465018176. Its totient is φ = 40836096000.

The previous prime is 105034505197. The next prime is 105034505203. The reversal of 105034505200 is 2505430501.

It is an interprime number because it is at equal distance from previous prime (105034505197) and next prime (105034505203).

It is a super-2 number, since 2×105034505200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034505203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4432584 + ... + 4456216.

Almost surely, 2^105034505200 is an apocalyptic number.

105034505200 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 105034505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129732509088).

105034505200 is an abundant number, since it is smaller than the sum of its proper divisors (154430512976).

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

105034505200 is a wasteful number, since it uses less digits than its factorization.

105034505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23963 (or 23952 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 105034505200 its reverse (2505430501), we get a palindrome (107539935701).

The spelling of 105034505200 in words is "one hundred five billion, thirty-four million, five hundred five thousand, two hundred".