10105520032 has 96 divisors (see below), whose sum is σ = 20872494720. Its totient is φ = 4810122240.

The previous prime is 10105520021. The next prime is 10105520071. The reversal of 10105520032 is 23002550101.

It is a junction number, because it is equal to n+sod(n) for n = 10105519991 and 10105520009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30530107 + ... + 30530437.

It is an arithmetic number, because the mean of its divisors is an integer number (217421820).

Almost surely, 2^10105520032 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 10105520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436247360).

10105520032 is an abundant number, since it is smaller than the sum of its proper divisors (10766974688).

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

10105520032 is a wasteful number, since it uses less digits than its factorization.

10105520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 10105520032 in words is "ten billion, one hundred five million, five hundred twenty thousand, thirty-two".