10093248 has 168 divisors, whose sum is σ = 33284160. Its totient is φ = 3006720.

The previous prime is 10093241. The next prime is 10093249. The reversal of 10093248 is 84239001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10093241) 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 23 ways as a sum of consecutive naturals, for example, 171043 + ... + 171101.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^10093248 is an apocalyptic number.

10093248 is a gapful number since it is divisible by the number (18) 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 10093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

10093248 is an abundant number, since it is smaller than the sum of its proper divisors (23190912).

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

10093248 is an equidigital number, since it uses as much as digits as its factorization.

10093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10093248 is about 3176.9872520991. The cubic root of 10093248 is about 216.1110540041. Note that the first 3 decimals are identical.

Subtracting 10093248 from its reverse (84239001), we obtain a triangular number (74145753 = T₁₂₁₇₇).

The spelling of 10093248 in words is "ten million, ninety-three thousand, two hundred forty-eight".