105450340314 has 64 divisors (see below), whose sum is σ = 235136950272. Its totient is φ = 31252363200.

The previous prime is 105450340297. The next prime is 105450340379. The reversal of 105450340314 is 413043054501.

It is a super-2 number, since 2×105450340314² (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 31 ways as a sum of consecutive naturals, for example, 4601244 + ... + 4624104.

It is an arithmetic number, because the mean of its divisors is an integer number (3674014848).

Almost surely, 2^105450340314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105450340314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117568475136).

105450340314 is an abundant number, since it is smaller than the sum of its proper divisors (129686609958).

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

105450340314 is a wasteful number, since it uses less digits than its factorization.

105450340314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24411.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105450340314 its reverse (413043054501), we get a palindrome (518493394815).

The spelling of 105450340314 in words is "one hundred five billion, four hundred fifty million, three hundred forty thousand, three hundred fourteen".