105340312200 has 96 divisors (see below), whose sum is σ = 329921696160. Its totient is φ = 27801139200.

The previous prime is 105340312177. The next prime is 105340312223. The reversal of 105340312200 is 2213043501.

It is an interprime number because it is at equal distance from previous prime (105340312177) and next prime (105340312223).

It is a super-2 number, since 2×105340312200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 846786 + ... + 963185.

It is an arithmetic number, because the mean of its divisors is an integer number (3436684335).

Almost surely, 2^105340312200 is an apocalyptic number.

105340312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105340312200 is an abundant number, since it is smaller than the sum of its proper divisors (224581383960).

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

105340312200 is a wasteful number, since it uses less digits than its factorization.

105340312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810087 (or 1810078 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 105340312200 its reverse (2213043501), we get a palindrome (107553355701).

The spelling of 105340312200 in words is "one hundred five billion, three hundred forty million, three hundred twelve thousand, two hundred".