105305635440 has 80 divisors (see below), whose sum is σ = 362719418400. Its totient is φ = 28081502208.

The previous prime is 105305635429. The next prime is 105305635441. The reversal of 105305635440 is 44536503501.

105305635440 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 563 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105305635440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105305635395 and 105305635404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105305635441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24374145 + ... + 24378464.

It is an arithmetic number, because the mean of its divisors is an integer number (4533992730).

Almost surely, 2^105305635440 is an apocalyptic number.

105305635440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105305635440 is an abundant number, since it is smaller than the sum of its proper divisors (257413782960).

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

105305635440 is a wasteful number, since it uses less digits than its factorization.

105305635440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48752631 (or 48752619 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 105305635440 in words is "one hundred five billion, three hundred five million, six hundred thirty-five thousand, four hundred forty".