105247296 has 336 divisors, whose sum is σ = 396118080. Its totient is φ = 27095040.

The previous prime is 105247283. The next prime is 105247297. The reversal of 105247296 is 692742501.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×105247296² = 22153986630623232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105247296.

It is not an unprimeable number, because it can be changed into a prime (105247297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931336 + ... + 931448.

Almost surely, 2^105247296 is an apocalyptic number.

105247296 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 105247296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198059040).

105247296 is an abundant number, since it is smaller than the sum of its proper divisors (290870784).

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

105247296 is a wasteful number, since it uses less digits than its factorization.

105247296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105247296 is about 10259.0104785988. The cubic root of 105247296 is about 472.1394780748.

Adding to 105247296 its reverse (692742501), we get a palindrome (797989797).

The spelling of 105247296 in words is "one hundred five million, two hundred forty-seven thousand, two hundred ninety-six".