105131824 has 20 divisors (see below), whose sum is σ = 232792144. Its totient is φ = 45056448.

The previous prime is 105131821. The next prime is 105131849. The reversal of 105131824 is 428131501.

It is a super-2 number, since 2×105131824² = 22105400835133952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105131821) 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 3 ways as a sum of consecutive naturals, for example, 469227 + ... + 469450.

Almost surely, 2^105131824 is an apocalyptic number.

105131824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105131824 is an abundant number, since it is smaller than the sum of its proper divisors (127660320).

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

105131824 is an equidigital number, since it uses as much as digits as its factorization.

105131824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938692 (or 938686 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 105131824 is about 10253.3811008857. The cubic root of 105131824 is about 471.9667457181.

The spelling of 105131824 in words is "one hundred five million, one hundred thirty-one thousand, eight hundred twenty-four".