105038080 has 144 divisors (see below), whose sum is σ = 303166080. Its totient is φ = 34062336.

The previous prime is 105038071. The next prime is 105038083. The reversal of 105038080 is 80830501.

It is a super-2 number, since 2×105038080² = 22065996500172800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105038083) 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 15 ways as a sum of consecutive naturals, for example, 169932 + ... + 170548.

It is an arithmetic number, because the mean of its divisors is an integer number (2105320).

Almost surely, 2^105038080 is an apocalyptic number.

105038080 is a gapful number since it is divisible by the number (10) 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 105038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151583040).

105038080 is an abundant number, since it is smaller than the sum of its proper divisors (198128000).

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

105038080 is an equidigital number, since it uses as much as digits as its factorization.

105038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 105038080 is about 10248.8087112601. The cubic root of 105038080 is about 471.8264228169.

Adding to 105038080 its reverse (80830501), we get a palindrome (185868581).

The spelling of 105038080 in words is "one hundred five million, thirty-eight thousand, eighty".