105321426 has 48 divisors (see below), whose sum is σ = 255758016. Its totient is φ = 28318464.

The previous prime is 105321421. The next prime is 105321449. The reversal of 105321426 is 624123501.

It is a super-2 number, since 2×105321426² = 22185205549346952, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105321396 and 105321405.

It is not an unprimeable number, because it can be changed into a prime (105321421) 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 23 ways as a sum of consecutive naturals, for example, 7800 + ... + 16476.

It is an arithmetic number, because the mean of its divisors is an integer number (5328292).

Almost surely, 2^105321426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105321426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127879008).

105321426 is an abundant number, since it is smaller than the sum of its proper divisors (150436590).

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

105321426 is a wasteful number, since it uses less digits than its factorization.

105321426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105321426 is about 10262.6227641866. The cubic root of 105321426 is about 472.2503011452.

Adding to 105321426 its reverse (624123501), we get a palindrome (729444927).

The spelling of 105321426 in words is "one hundred five million, three hundred twenty-one thousand, four hundred twenty-six".