2105354013 has 32 divisors (see below), whose sum is σ = 3388041216. Its totient is φ = 1136866368.

The previous prime is 2105353981. The next prime is 2105354039. The reversal of 2105354013 is 3104535012.

It is not a de Polignac number, because 2105354013 - 2⁵ = 2105353981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105354513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13831 + ... + 66347.

It is an arithmetic number, because the mean of its divisors is an integer number (105876288).

Almost surely, 2^2105354013 is an apocalyptic number.

2105354013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2105354013 is a deficient number, since it is larger than the sum of its proper divisors (1282687203).

2105354013 is a wasteful number, since it uses less digits than its factorization.

2105354013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52633.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2105354013 is about 45884.1368339865. The cubic root of 2105354013 is about 1281.6665330840. Note that the first 3 decimals are identical.

Adding to 2105354013 its reverse (3104535012), we get a palindrome (5209889025).

The spelling of 2105354013 in words is "two billion, one hundred five million, three hundred fifty-four thousand, thirteen".