105045024 has 144 divisors (see below), whose sum is σ = 325086048. Its totient is φ = 29611008.

The previous prime is 105045007. The next prime is 105045037. The reversal of 105045024 is 420540501.

It is a super-2 number, since 2×105045024² = 22068914134321152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644367 + ... + 644529.

It is an arithmetic number, because the mean of its divisors is an integer number (2257542).

Almost surely, 2^105045024 is an apocalyptic number.

105045024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162543024).

105045024 is an abundant number, since it is smaller than the sum of its proper divisors (220041024).

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

105045024 is a wasteful number, since it uses less digits than its factorization.

105045024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105045024 is about 10249.1474767417. The cubic root of 105045024 is about 471.8368199684.

Adding to 105045024 its reverse (420540501), we get a palindrome (525585525).

The spelling of 105045024 in words is "one hundred five million, forty-five thousand, twenty-four".