105030024 has 64 divisors (see below), whose sum is σ = 301536000. Its totient is φ = 30150720.

The previous prime is 105029999. The next prime is 105030041. The reversal of 105030024 is 420030501.

It is a super-2 number, since 2×105030024² = 22062611882881152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105029985 and 105030012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5454 + ... + 15485.

It is an arithmetic number, because the mean of its divisors is an integer number (4711500).

Almost surely, 2^105030024 is an apocalyptic number.

It is an amenable number.

105030024 is an abundant number, since it is smaller than the sum of its proper divisors (196505976).

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

105030024 is a wasteful number, since it uses less digits than its factorization.

105030024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20978 (or 20974 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105030024 is about 10248.4156824360. The cubic root of 105030024 is about 471.8143601096.

Adding to 105030024 its reverse (420030501), we get a palindrome (525060525).

The spelling of 105030024 in words is "one hundred five million, thirty thousand, twenty-four".