105753408280 has 64 divisors (see below), whose sum is σ = 256329813600. Its totient is φ = 39035043840.

The previous prime is 105753408263. The next prime is 105753408289. The reversal of 105753408280 is 82804357501.

It is a super-2 number, since 2×105753408280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105753408289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1700535 + ... + 1761625.

Almost surely, 2^105753408280 is an apocalyptic number.

105753408280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105753408280 is an abundant number, since it is smaller than the sum of its proper divisors (150576405320).

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

105753408280 is a wasteful number, since it uses less digits than its factorization.

105753408280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64444 (or 64440 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 105753408280 in words is "one hundred five billion, seven hundred fifty-three million, four hundred eight thousand, two hundred eighty".