105115296 has 288 divisors, whose sum is σ = 354170880. Its totient is φ = 26956800.

The previous prime is 105115279. The next prime is 105115321. The reversal of 105115296 is 692511501.

It is a super-2 number, since 2×105115296² = 22098450906335232, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3390801 + ... + 3390831.

It is an arithmetic number, because the mean of its divisors is an integer number (1229760).

Almost surely, 2^105115296 is an apocalyptic number.

105115296 is a gapful number since it is divisible by the number (16) 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 105115296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

105115296 is an abundant number, since it is smaller than the sum of its proper divisors (249055584).

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

105115296 is a wasteful number, since it uses less digits than its factorization.

105115296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 105115296 is about 10252.5750911661. The cubic root of 105115296 is about 471.9420114530.

Adding to 105115296 its reverse (692511501), we get a palindrome (797626797).

The spelling of 105115296 in words is "one hundred five million, one hundred fifteen thousand, two hundred ninety-six".