105634233024 has 112 divisors (see below), whose sum is σ = 292459745280. Its totient is φ = 33608632320.

The previous prime is 105634233013. The next prime is 105634233041. The reversal of 105634233024 is 420332436501.

It is a happy number.

105634233024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105634233024² (a number of 23 digits) contains 22 as substring.

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, 312937 + ... + 556055.

Almost surely, 2^105634233024 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 105634233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146229872640).

105634233024 is an abundant number, since it is smaller than the sum of its proper divisors (186825512256).

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

105634233024 is a wasteful number, since it uses less digits than its factorization.

105634233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243238 (or 243228 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 105634233024 its reverse (420332436501), we get a palindrome (525966669525).

The spelling of 105634233024 in words is "one hundred five billion, six hundred thirty-four million, two hundred thirty-three thousand, twenty-four".