10105794500032 has 224 divisors, whose sum is σ = 25690701496320. Its totient is φ = 3829893995520.

The previous prime is 10105794499961. The next prime is 10105794500047. The reversal of 10105794500032 is 23000549750101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 10105794499964 and 10105794500000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37619569 + ... + 37887247.

It is an arithmetic number, because the mean of its divisors is an integer number (114690631680).

Almost surely, 2^{10105794500032} 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 10105794500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845350748160).

10105794500032 is an abundant number, since it is smaller than the sum of its proper divisors (15584906996288).

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

10105794500032 is a wasteful number, since it uses less digits than its factorization.

10105794500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267919 (or 267909 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 10105794500032 in words is "ten trillion, one hundred five billion, seven hundred ninety-four million, five hundred thousand, thirty-two".