2105542032 has 40 divisors (see below), whose sum is σ = 5933801760. Its totient is φ = 638042880.

The previous prime is 2105542031. The next prime is 2105542079. The reversal of 2105542032 is 2302455012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2105541993 and 2105542011.

It is not an unprimeable number, because it can be changed into a prime (2105542031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1993357 + ... + 1994412.

It is an arithmetic number, because the mean of its divisors is an integer number (148345044).

Almost surely, 2^2105542032 is an apocalyptic number.

2105542032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2105542032 is an abundant number, since it is smaller than the sum of its proper divisors (3828259728).

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

2105542032 is a wasteful number, since it uses less digits than its factorization.

2105542032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987791 (or 3987785 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2105542032 is about 45886.1856335869. The cubic root of 2105542032 is about 1281.7046850979.

Adding to 2105542032 its reverse (2302455012), we get a palindrome (4407997044).

The spelling of 2105542032 in words is "two billion, one hundred five million, five hundred forty-two thousand, thirty-two".