105324240 has 160 divisors (see below), whose sum is σ = 378832896. Its totient is φ = 23708160.

The previous prime is 105324223. The next prime is 105324251. The reversal of 105324240 is 42423501.

It is a super-2 number, since 2×105324240² = 22186391063155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 118839 + ... + 119721.

Almost surely, 2^105324240 is an apocalyptic number.

105324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189416448).

105324240 is an abundant number, since it is smaller than the sum of its proper divisors (273508656).

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

105324240 is a wasteful number, since it uses less digits than its factorization.

105324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 105324240 is about 10262.7598627270. The cubic root of 105324240 is about 472.2545070020.

Adding to 105324240 its reverse (42423501), we get a palindrome (147747741).

The spelling of 105324240 in words is "one hundred five million, three hundred twenty-four thousand, two hundred forty".