105521248 has 96 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 43490304.

The previous prime is 105521239. The next prime is 105521257. The reversal of 105521248 is 842125501.

It is an interprime number because it is at equal distance from previous prime (105521239) and next prime (105521257).

It is a super-2 number, since 2×105521248² = 22269467558955008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185588 + ... + 1185676.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^105521248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105521248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

105521248 is an abundant number, since it is smaller than the sum of its proper divisors (141237152).

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

105521248 is an equidigital number, since it uses as much as digits as its factorization.

105521248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 105521248 is about 10272.3535764692. The cubic root of 105521248 is about 472.5487728085.

Adding to 105521248 its reverse (842125501), we get a palindrome (947646749).

The spelling of 105521248 in words is "one hundred five million, five hundred twenty-one thousand, two hundred forty-eight".