105244008 has 128 divisors (see below), whose sum is σ = 294865920. Its totient is φ = 31150080.

The previous prime is 105243997. The next prime is 105244043. The reversal of 105244008 is 800442501.

It is a super-2 number, since 2×105244008² = 22152602439808128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670266 + ... + 670422.

It is an arithmetic number, because the mean of its divisors is an integer number (2303640).

Almost surely, 2^105244008 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 105244008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147432960).

105244008 is an abundant number, since it is smaller than the sum of its proper divisors (189621912).

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

105244008 is a wasteful number, since it uses less digits than its factorization.

105244008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 105244008 is about 10258.8502279739. The cubic root of 105244008 is about 472.1345613664.

Adding to 105244008 its reverse (800442501), we get a palindrome (905686509).

The spelling of 105244008 in words is "one hundred five million, two hundred forty-four thousand, eight".