105326400 has 84 divisors (see below), whose sum is σ = 345574112. Its totient is φ = 28085760.

The previous prime is 105326381. The next prime is 105326401. The reversal of 105326400 is 4623501.

It is a happy number.

It is a super-2 number, since 2×105326400² = 22187301073920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6172 + ... + 15771.

Almost surely, 2^105326400 is an apocalyptic number.

105326400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105326400 is an abundant number, since it is smaller than the sum of its proper divisors (240247712).

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

105326400 is a wasteful number, since it uses less digits than its factorization.

105326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21968 (or 21953 counting only the distinct ones).

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

The square root of 105326400 is about 10262.8650970380. The cubic root of 105326400 is about 472.2577353274.

Adding to 105326400 its reverse (4623501), we get a palindrome (109949901).

The spelling of 105326400 in words is "one hundred five million, three hundred twenty-six thousand, four hundred".