106053248 has 96 divisors (see below), whose sum is σ = 252967140. Its totient is φ = 44126208.

The previous prime is 106053223. The next prime is 106053271. The reversal of 106053248 is 842350601.

It can be written as a sum of positive squares in 2 ways, for example, as 87459904 + 18593344 = 9352^2 + 4312^2 .

It is a super-2 number, since 2×106053248² = 22494582822699008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106053248.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 231836 + ... + 232292.

Almost surely, 2^106053248 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 106053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126483570).

106053248 is an abundant number, since it is smaller than the sum of its proper divisors (146913892).

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

106053248 is an equidigital number, since it uses as much as digits as its factorization.

106053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 106053248 is about 10298.2157677920. The cubic root of 106053248 is about 473.3415819938.

The spelling of 106053248 in words is "one hundred six million, fifty-three thousand, two hundred forty-eight".