105021056 has 128 divisors (see below), whose sum is σ = 261120000. Its totient is φ = 41057280.

The previous prime is 105021047. The next prime is 105021061. The reversal of 105021056 is 650120501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105021056² = 22058844406710272, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 527645 + ... + 527843.

It is an arithmetic number, because the mean of its divisors is an integer number (2040000).

Almost surely, 2^105021056 is an apocalyptic number.

105021056 is a gapful number since it is divisible by the number (16) 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 105021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130560000).

105021056 is an abundant number, since it is smaller than the sum of its proper divisors (156098944).

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

105021056 is a wasteful number, since it uses less digits than its factorization.

105021056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105021056 is about 10247.9781420532. The cubic root of 105021056 is about 471.8009310873.

Adding to 105021056 its reverse (650120501), we get a palindrome (755141557).

The spelling of 105021056 in words is "one hundred five million, twenty-one thousand, fifty-six".