132105843 has 32 divisors (see below), whose sum is σ = 200844800. Its totient is φ = 85792608.

The previous prime is 132105829. The next prime is 132105863. The reversal of 132105843 is 348501231.

It is a happy number.

It is not a de Polignac number, because 132105843 - 2⁵ = 132105811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132105863) 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 31 ways as a sum of consecutive naturals, for example, 185973 + ... + 186681.

It is an arithmetic number, because the mean of its divisors is an integer number (6276400).

Almost surely, 2^132105843 is an apocalyptic number.

132105843 is a deficient number, since it is larger than the sum of its proper divisors (68738957).

132105843 is a wasteful number, since it uses less digits than its factorization.

132105843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132105843 is about 11493.7305954159. The cubic root of 132105843 is about 509.3003902064.

The spelling of 132105843 in words is "one hundred thirty-two million, one hundred five thousand, eight hundred forty-three".