105241056 has 48 divisors (see below), whose sum is σ = 277162704. Its totient is φ = 34965504.

The previous prime is 105241051. The next prime is 105241079. The reversal of 105241056 is 650142501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105241056² = 22151359735990272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105241051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30726 + ... + 33978.

It is an arithmetic number, because the mean of its divisors is an integer number (5774223).

Almost surely, 2^105241056 is an apocalyptic number.

105241056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105241056 is an abundant number, since it is smaller than the sum of its proper divisors (171921648).

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

105241056 is a wasteful number, since it uses less digits than its factorization.

105241056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105241056 is about 10258.7063511926. The cubic root of 105241056 is about 472.1301470082.

Adding to 105241056 its reverse (650142501), we get a palindrome (755383557).

The spelling of 105241056 in words is "one hundred five million, two hundred forty-one thousand, fifty-six".