105243824 has 20 divisors (see below), whose sum is σ = 233040144. Its totient is φ = 45104448.

The previous prime is 105243781. The next prime is 105243839. The reversal of 105243824 is 428342501.

It is a happy number.

It is a super-2 number, since 2×105243824² = 22152524980285952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469727 + ... + 469950.

Almost surely, 2^105243824 is an apocalyptic number.

105243824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105243824 is an abundant number, since it is smaller than the sum of its proper divisors (127796320).

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

105243824 is an equidigital number, since it uses as much as digits as its factorization.

105243824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939692 (or 939686 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 105243824 is about 10258.8412601034. The cubic root of 105243824 is about 472.1342862192.

The spelling of 105243824 in words is "one hundred five million, two hundred forty-three thousand, eight hundred twenty-four".