105493182432 has 96 divisors (see below), whose sum is σ = 309119690880. Its totient is φ = 31224184320.

The previous prime is 105493182391. The next prime is 105493182469. The reversal of 105493182432 is 234281394501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105493182432² (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 15 ways as a sum of consecutive naturals, for example, 1116207 + ... + 1207022.

It is an arithmetic number, because the mean of its divisors is an integer number (3219996780).

Almost surely, 2^105493182432 is an apocalyptic number.

105493182432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105493182432 is an abundant number, since it is smaller than the sum of its proper divisors (203626508448).

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

105493182432 is a wasteful number, since it uses less digits than its factorization.

105493182432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323296 (or 2323288 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 105493182432 in words is "one hundred five billion, four hundred ninety-three million, one hundred eighty-two thousand, four hundred thirty-two".