2106193320 has 1024 divisors, whose sum is σ = 9732096000. Its totient is φ = 391910400.

The previous prime is 2106193319. The next prime is 2106193403. The reversal of 2106193320 is 233916012.

2106193320 is a `hidden beast` number, since 2 + 10 + 619 + 3 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48981219 + ... + 48981261.

It is an arithmetic number, because the mean of its divisors is an integer number (9504000).

Almost surely, 2^2106193320 is an apocalyptic number.

2106193320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106193320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866048000).

2106193320 is an abundant number, since it is smaller than the sum of its proper divisors (7625902680).

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

2106193320 is a wasteful number, since it uses less digits than its factorization.

2106193320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2106193320 is about 45893.2818612921. The cubic root of 2106193320 is about 1281.8368241249.

The spelling of 2106193320 in words is "two billion, one hundred six million, one hundred ninety-three thousand, three hundred twenty".