2106105342 has 128 divisors (see below), whose sum is σ = 4992565248. Its totient is φ = 586051200.

The previous prime is 2106105317. The next prime is 2106105383. The reversal of 2106105342 is 2435016012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3254863 + ... + 3255509.

It is an arithmetic number, because the mean of its divisors is an integer number (39004416).

Almost surely, 2^2106105342 is an apocalyptic number.

2106105342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106105342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496282624).

2106105342 is an abundant number, since it is smaller than the sum of its proper divisors (2886459906).

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

2106105342 is a wasteful number, since it uses less digits than its factorization.

2106105342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2106105342 is about 45892.3233449779. The cubic root of 2106105342 is about 1281.8189759674.

The spelling of 2106105342 in words is "two billion, one hundred six million, one hundred five thousand, three hundred forty-two".