105435320052 has 48 divisors (see below), whose sum is σ = 254463011712. Its totient is φ = 33955000320.

The previous prime is 105435319933. The next prime is 105435320077. The reversal of 105435320052 is 250023534501.

105435320052 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-3 number, since 3×105435320052³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 989613 + ... + 1090964.

It is an arithmetic number, because the mean of its divisors is an integer number (5301312744).

Almost surely, 2^105435320052 is an apocalyptic number.

105435320052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105435320052 is an abundant number, since it is smaller than the sum of its proper divisors (149027691660).

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

105435320052 is a wasteful number, since it uses less digits than its factorization.

105435320052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080728 (or 2080726 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 105435320052 its reverse (250023534501), we get a palindrome (355458854553).

The spelling of 105435320052 in words is "one hundred five billion, four hundred thirty-five million, three hundred twenty thousand, fifty-two".