105435554300 has 36 divisors (see below), whose sum is σ = 240837007320. Its totient is φ = 39954525120.

The previous prime is 105435554299. The next prime is 105435554321. The reversal of 105435554300 is 3455534501.

It is a super-2 number, since 2×105435554300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 27744299 + ... + 27748098.

It is an arithmetic number, because the mean of its divisors is an integer number (6689916870).

Almost surely, 2^105435554300 is an apocalyptic number.

105435554300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105435554300 is an abundant number, since it is smaller than the sum of its proper divisors (135401453020).

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

105435554300 is a wasteful number, since it uses less digits than its factorization.

105435554300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55492430 (or 55492423 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 105435554300 in words is "one hundred five billion, four hundred thirty-five million, five hundred fifty-four thousand, three hundred".