105331248 has 120 divisors (see below), whose sum is σ = 332813520. Its totient is φ = 30804480.

The previous prime is 105331243. The next prime is 105331249. The reversal of 105331248 is 842133501.

It is a happy number.

105331248 is a `hidden beast` number, since 1 + 0 + 533 + 124 + 8 = 666.

It is a super-2 number, since 2×105331248² = 22189343610475008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105331241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44790 + ... + 47082.

It is an arithmetic number, because the mean of its divisors is an integer number (2773446).

Almost surely, 2^105331248 is an apocalyptic number.

105331248 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 105331248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166406760).

105331248 is an abundant number, since it is smaller than the sum of its proper divisors (227482272).

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

105331248 is a wasteful number, since it uses less digits than its factorization.

105331248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105331248 is about 10263.1012856738. The cubic root of 105331248 is about 472.2649809637.

Adding to 105331248 its reverse (842133501), we get a palindrome (947464749).

It can be divided in two parts, 10533 and 1248, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 105331248 in words is "one hundred five million, three hundred thirty-one thousand, two hundred forty-eight".