105301022110340 has 96 divisors (see below), whose sum is σ = 252899850551040. Its totient is φ = 36077874246144.

The previous prime is 105301022110187. The next prime is 105301022110397. The reversal of 105301022110340 is 43011220103501.

It is a super-2 number, since 2×105301022110340² (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 31 ways as a sum of consecutive naturals, for example, 1174416431 + ... + 1174506089.

It is an arithmetic number, because the mean of its divisors is an integer number (2634373443240).

Almost surely, 2^{105301022110340} is an apocalyptic number.

105301022110340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105301022110340 is an abundant number, since it is smaller than the sum of its proper divisors (147598828440700).

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

105301022110340 is a wasteful number, since it uses less digits than its factorization.

105301022110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95469 (or 95467 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 105301022110340 its reverse (43011220103501), we get a palindrome (148312242213841).

The spelling of 105301022110340 in words is "one hundred five trillion, three hundred one billion, twenty-two million, one hundred ten thousand, three hundred forty".