105343222120000 has 70 divisors (see below), whose sum is σ = 261216954409598. Its totient is φ = 42137288832000.

The previous prime is 105343222119959. The next prime is 105343222120049. The reversal of 105343222120000 is 21222343501.

It can be written as a sum of positive squares in 5 ways, for example, as 50512632986176 + 54830589133824 = 7107224^2 + 7404768^2 .

It is a super-2 number, since 2×105343222120000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1316750277 + ... + 1316830276.

Almost surely, 2^{105343222120000} is an apocalyptic number.

105343222120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105343222120000 is an abundant number, since it is smaller than the sum of its proper divisors (155873732289598).

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

105343222120000 is an frugal number, since it uses more digits than its factorization.

105343222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633580585 (or 2633580560 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 105343222120000 its reverse (21222343501), we get a palindrome (105364444463501).

The spelling of 105343222120000 in words is "one hundred five trillion, three hundred forty-three billion, two hundred twenty-two million, one hundred twenty thousand".