1001105320 has 64 divisors (see below), whose sum is σ = 2337408000. Its totient is φ = 385482240.

The previous prime is 1001105309. The next prime is 1001105321. The reversal of 1001105320 is 235011001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001105320.

It is not an unprimeable number, because it can be changed into a prime (1001105321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244732 + ... + 248788.

It is an arithmetic number, because the mean of its divisors is an integer number (36522000).

Almost surely, 2^1001105320 is an apocalyptic number.

1001105320 is a gapful number since it is divisible by the number (10) 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 1001105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168704000).

1001105320 is an abundant number, since it is smaller than the sum of its proper divisors (1336302680).

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

1001105320 is a wasteful number, since it uses less digits than its factorization.

1001105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4294 counting only the distinct ones).

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

The square root of 1001105320 is about 31640.2484187467. The cubic root of 1001105320 is about 1000.3683043353.

Adding to 1001105320 its reverse (235011001), we get a palindrome (1236116321).

The spelling of 1001105320 in words is "one billion, one million, one hundred five thousand, three hundred twenty".