105322434 has 64 divisors (see below), whose sum is σ = 257817600. Its totient is φ = 28012608.

The previous prime is 105322423. The next prime is 105322439. The reversal of 105322434 is 434223501.

It is a super-2 number, since 2×105322434² = 22185630207368712, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105322439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45964 + ... + 48200.

It is an arithmetic number, because the mean of its divisors is an integer number (4028400).

Almost surely, 2^105322434 is an apocalyptic number.

105322434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105322434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908800).

105322434 is an abundant number, since it is smaller than the sum of its proper divisors (152495166).

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

105322434 is a wasteful number, since it uses less digits than its factorization.

105322434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 105322434 is about 10262.6718743220. The cubic root of 105322434 is about 472.2518077294.

Adding to 105322434 its reverse (434223501), we get a palindrome (539545935).

The spelling of 105322434 in words is "one hundred five million, three hundred twenty-two thousand, four hundred thirty-four".