105214510344 has 64 divisors (see below), whose sum is σ = 274719968640. Its totient is φ = 33516426240.

The previous prime is 105214510339. The next prime is 105214510381. The reversal of 105214510344 is 443015412501.

It is a super-2 number, since 2×105214510344² (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 15 ways as a sum of consecutive naturals, for example, 531264 + ... + 701904.

It is an arithmetic number, because the mean of its divisors is an integer number (4292499510).

Almost surely, 2^105214510344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105214510344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137359984320).

105214510344 is an abundant number, since it is smaller than the sum of its proper divisors (169505458296).

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

105214510344 is a wasteful number, since it uses less digits than its factorization.

105214510344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171790 (or 171786 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 105214510344 its reverse (443015412501), we get a palindrome (548229922845).

The spelling of 105214510344 in words is "one hundred five billion, two hundred fourteen million, five hundred ten thousand, three hundred forty-four".