105034042200 has 48 divisors (see below), whose sum is σ = 325605532680. Its totient is φ = 28009077760.

The previous prime is 105034042171. The next prime is 105034042213. The reversal of 105034042200 is 2240430501.

It is a super-2 number, since 2×105034042200² (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 11 ways as a sum of consecutive naturals, for example, 87527769 + ... + 87528968.

Almost surely, 2^105034042200 is an apocalyptic number.

105034042200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105034042200 is an abundant number, since it is smaller than the sum of its proper divisors (220571490480).

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

105034042200 is a wasteful number, since it uses less digits than its factorization.

105034042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175056756 (or 175056747 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 105034042200 its reverse (2240430501), we get a palindrome (107274472701).

The spelling of 105034042200 in words is "one hundred five billion, thirty-four million, forty-two thousand, two hundred".