1101001056 has 96 divisors (see below), whose sum is σ = 3221285760. Its totient is φ = 327223296.

The previous prime is 1101001049. The next prime is 1101001067. The reversal of 1101001056 is 6501001011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13255 + ... + 48761.

It is an arithmetic number, because the mean of its divisors is an integer number (33555060).

Almost surely, 2^1101001056 is an apocalyptic number.

1101001056 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 1101001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610642880).

1101001056 is an abundant number, since it is smaller than the sum of its proper divisors (2120284704).

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

1101001056 is a wasteful number, since it uses less digits than its factorization.

1101001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35556 (or 35548 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1101001056 is about 33181.3359586380. The cubic root of 1101001056 is about 1032.5931629983.

Adding to 1101001056 its reverse (6501001011), we get a palindrome (7602002067).

It can be divided in two parts, 110100 and 1056, that added together give a triangular number (111156 = T₄₇₁).

The spelling of 1101001056 in words is "one billion, one hundred one million, one thousand, fifty-six".