105431824 has 45 divisors (see below), whose sum is σ = 218443701. Its totient is φ = 49286400.

The previous prime is 105431771. The next prime is 105431827. The reversal of 105431824 is 428134501.

The square root of 105431824 is 10268.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82083600 + 23348224 = 9060^2 + 4832^2 .

It is a super-2 number, since 2×105431824² = 22231739023933952, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105431792 and 105431801.

It is not an unprimeable number, because it can be changed into a prime (105431827) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 698149 + ... + 698299.

Almost surely, 2^105431824 is an apocalyptic number.

105431824 is the 10268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105431824

105431824 is an abundant number, since it is smaller than the sum of its proper divisors (113011877).

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

105431824 is an equidigital number, since it uses as much as digits as its factorization.

105431824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 105431824 is about 472.4152479028.

The spelling of 105431824 in words is "one hundred five million, four hundred thirty-one thousand, eight hundred twenty-four".