105089024 has 72 divisors (see below), whose sum is σ = 221924430. Its totient is φ = 49741824.

The previous prime is 105089021. The next prime is 105089029. The reversal of 105089024 is 420980501.

It can be written as a sum of positive squares in only one way, i.e., 91546624 + 13542400 = 9568^2 + 3680^2 .

It is a super-2 number, since 2×105089024² = 22087405930545152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105089021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1083344 + ... + 1083440.

Almost surely, 2^105089024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110962215).

105089024 is an abundant number, since it is smaller than the sum of its proper divisors (116835406).

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

105089024 is an frugal number, since it uses more digits than its factorization.

105089024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 105089024 is about 10251.2937720075. The cubic root of 105089024 is about 471.9026898886.

The spelling of 105089024 in words is "one hundred five million, eighty-nine thousand, twenty-four".