10111248 has 90 divisors (see below), whose sum is σ = 32940414. Its totient is φ = 2886912.

The previous prime is 10111247. The next prime is 10111253. The reversal of 10111248 is 84211101.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 451584 = 3108^2 + 672^2 .

It is a super-2 number, since 2×10111248² = 204474672235008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10111248.

It is not an unprimeable number, because it can be changed into a prime (10111247) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6340 + ... + 7772.

Almost surely, 2^10111248 is an apocalyptic number.

10111248 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 10111248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470207).

10111248 is an abundant number, since it is smaller than the sum of its proper divisors (22829166).

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

10111248 is a wasteful number, since it uses less digits than its factorization.

10111248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10111248 is about 3179.8188627656. The cubic root of 10111248 is about 216.2394463982.

Adding to 10111248 its reverse (84211101), we get a palindrome (94322349).

The spelling of 10111248 in words is "ten million, one hundred eleven thousand, two hundred forty-eight".