105285824 has 28 divisors (see below), whose sum is σ = 238774224. Its totient is φ = 45122304.

The previous prime is 105285823. The next prime is 105285841. The reversal of 105285824 is 428582501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×105285824² = 22170209470717952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105285823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117059 + ... + 117954.

Almost surely, 2^105285824 is an apocalyptic number.

105285824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105285824 is an abundant number, since it is smaller than the sum of its proper divisors (133488400).

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

105285824 is an equidigital number, since it uses as much as digits as its factorization.

105285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235032 (or 235022 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 105285824 is about 10260.8880707276. Note that the first 3 decimals coincide. The cubic root of 105285824 is about 472.1970832620.

The spelling of 105285824 in words is "one hundred five million, two hundred eighty-five thousand, eight hundred twenty-four".