10011103232 has 104 divisors (see below), whose sum is σ = 21680266440. Its totient is φ = 4594728960.

The previous prime is 10011103181. The next prime is 10011103241. The reversal of 10011103232 is 23230111001.

It can be written as a sum of positive squares in 4 ways, for example, as 1111822336 + 8899280896 = 33344^2 + 94336^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12193382 + ... + 12194202.

Almost surely, 2^10011103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840133220).

10011103232 is an abundant number, since it is smaller than the sum of its proper divisors (11669163208).

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

10011103232 is an equidigital number, since it uses as much as digits as its factorization.

10011103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10011103232 its reverse (23230111001), we get a palindrome (33241214233).

The spelling of 10011103232 in words is "ten billion, eleven million, one hundred three thousand, two hundred thirty-two".