2106344436012 has 36 divisors (see below), whose sum is σ = 5324499114480. Its totient is φ = 702097872672.

The previous prime is 2106344435999. The next prime is 2106344436023.

2106344436012 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 3 + 4 + 4 + 43 + 601 + 2 = 666.

2106344436012 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854314 + ... + 2223182.

It is an arithmetic number, because the mean of its divisors is an integer number (147902753180).

Almost surely, 2^{2106344436012} is an apocalyptic number.

It is an amenable number.

2106344436012 is an abundant number, since it is smaller than the sum of its proper divisors (3218154678468).

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

2106344436012 is a wasteful number, since it uses less digits than its factorization.

2106344436012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411622 (or 1411617 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2106344436012 in words is "two trillion, one hundred six billion, three hundred forty-four million, four hundred thirty-six thousand, twelve".