10001056 has 48 divisors (see below), whose sum is σ = 21961800. Its totient is φ = 4451328.

The previous prime is 10001053. The next prime is 10001081. The reversal of 10001056 is 65010001.

It can be written as a sum of positive squares in 4 ways, for example, as 7376656 + 2624400 = 2716^2 + 1620^2 .

It is a super-2 number, since 2×10001056² = 200042242230272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10001053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11650 + ... + 12478.

Almost surely, 2^10001056 is an apocalyptic number.

10001056 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 10001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980900).

10001056 is an abundant number, since it is smaller than the sum of its proper divisors (11960744).

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

10001056 is a wasteful number, since it uses less digits than its factorization.

10001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10001056 is about 3162.4446240211. Note that the first 3 decimals coincide. The cubic root of 10001056 is about 215.4510523464.

Adding to 10001056 its reverse (65010001), we get a palindrome (75011057).

The spelling of 10001056 in words is "ten million, one thousand, fifty-six".