105050323410 has 256 divisors, whose sum is σ = 288291225600. Its totient is φ = 24373094400.

The previous prime is 105050323403. The next prime is 105050323423. The reversal of 105050323410 is 14323050501.

It is a super-2 number, since 2×105050323410² (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26803431 + ... + 26807349.

It is an arithmetic number, because the mean of its divisors is an integer number (1126137600).

Almost surely, 2^105050323410 is an apocalyptic number.

105050323410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105050323410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144145612800).

105050323410 is an abundant number, since it is smaller than the sum of its proper divisors (183240902190).

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

105050323410 is a wasteful number, since it uses less digits than its factorization.

105050323410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 105050323410 its reverse (14323050501), we get a palindrome (119373373911).

The spelling of 105050323410 in words is "one hundred five billion, fifty million, three hundred twenty-three thousand, four hundred ten".