105735248 has 20 divisors (see below), whose sum is σ = 205025940. Its totient is φ = 52825344.

The previous prime is 105735241. The next prime is 105735251. The reversal of 105735248 is 842537501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99840064 + 5895184 = 9992^2 + 2428^2 .

It is a super-2 number, since 2×105735248² = 22359885339243008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105735241) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 30836 + ... + 34092.

It is an arithmetic number, because the mean of its divisors is an integer number (10251297).

Almost surely, 2^105735248 is an apocalyptic number.

It is an amenable number.

105735248 is a deficient number, since it is larger than the sum of its proper divisors (99290692).

105735248 is a wasteful number, since it uses less digits than its factorization.

105735248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 105735248 is about 10282.7646088005. The cubic root of 105735248 is about 472.8680044150.

The spelling of 105735248 in words is "one hundred five million, seven hundred thirty-five thousand, two hundred forty-eight".