105020344314 has 64 divisors (see below), whose sum is σ = 237872436480. Its totient is φ = 34339092480.

The previous prime is 105020344301. The next prime is 105020344337. The reversal of 105020344314 is 413443020501.

It is a happy number.

105020344314 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 2 + 0 + 344 + 314 = 666.

It is a super-2 number, since 2×105020344314² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 503179 + ... + 680609.

It is an arithmetic number, because the mean of its divisors is an integer number (3716756820).

Almost surely, 2^105020344314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105020344314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118936218240).

105020344314 is an abundant number, since it is smaller than the sum of its proper divisors (132852092166).

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

105020344314 is a wasteful number, since it uses less digits than its factorization.

105020344314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177652 (or 177646 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105020344314 its reverse (413443020501), we get a palindrome (518463364815).

The spelling of 105020344314 in words is "one hundred five billion, twenty million, three hundred forty-four thousand, three hundred fourteen".