105009280 has 64 divisors (see below), whose sum is σ = 256452480. Its totient is φ = 41098240.

The previous prime is 105009277. The next prime is 105009299. The reversal of 105009280 is 82900501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105009280² = 22053897772236800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28335 + ... + 31825.

It is an arithmetic number, because the mean of its divisors is an integer number (4007070).

Almost surely, 2^105009280 is an apocalyptic number.

105009280 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 105009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128226240).

105009280 is an abundant number, since it is smaller than the sum of its proper divisors (151443200).

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

105009280 is an equidigital number, since it uses as much as digits as its factorization.

105009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105009280 is about 10247.4035735888. The cubic root of 105009280 is about 471.7832960985.

Adding to 105009280 its reverse (82900501), we get a palindrome (187909781).

The spelling of 105009280 in words is "one hundred five million, nine thousand, two hundred eighty".