105410322030 has 64 divisors (see below), whose sum is σ = 272905174080. Its totient is φ = 25903343616.

The previous prime is 105410322019. The next prime is 105410322067. The reversal of 105410322030 is 30223014501.

It is a super-2 number, since 2×105410322030² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105410321988 and 105410322006.

It is a congruent number.

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, 3376 + ... + 459164.

It is an arithmetic number, because the mean of its divisors is an integer number (4264143345).

Almost surely, 2^105410322030 is an apocalyptic number.

105410322030 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 105410322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136452587040).

105410322030 is an abundant number, since it is smaller than the sum of its proper divisors (167494852050).

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

105410322030 is a wasteful number, since it uses less digits than its factorization.

105410322030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456405.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 105410322030 its reverse (30223014501), we get a palindrome (135633336531).

The spelling of 105410322030 in words is "one hundred five billion, four hundred ten million, three hundred twenty-two thousand, thirty".