2106332105472 has 432 divisors, whose sum is σ = 7355178492480. Its totient is φ = 566879846400.

The previous prime is 2106332105429. The next prime is 2106332105489. The reversal of 2106332105472 is 2745012336012.

2106332105472 is a `hidden beast` number, since 2 + 1 + 0 + 633 + 2 + 10 + 5 + 4 + 7 + 2 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19121272 + ... + 19231112.

It is an arithmetic number, because the mean of its divisors is an integer number (17025876140).

Almost surely, 2^{2106332105472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106332105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677589246240).

2106332105472 is an abundant number, since it is smaller than the sum of its proper divisors (5248846387008).

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

2106332105472 is a wasteful number, since it uses less digits than its factorization.

2106332105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109940 (or 109923 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2106332105472 in words is "two trillion, one hundred six billion, three hundred thirty-two million, one hundred five thousand, four hundred seventy-two".