2106137600000 has 1008 divisors, whose sum is σ = 6478037941536. Its totient is φ = 681246720000.

The previous prime is 2106137599957. The next prime is 2106137600107. The reversal of 2106137600000 is 67316012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28851199964 + ... + 28851200036.

It is an arithmetic number, because the mean of its divisors is an integer number (6426624942).

Almost surely, 2^{2106137600000} is an apocalyptic number.

2106137600000 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 2106137600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239018970768).

2106137600000 is an abundant number, since it is smaller than the sum of its proper divisors (4371900341536).

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

2106137600000 is an frugal number, since it uses more digits than its factorization.

2106137600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 2106137600000 in words is "two trillion, one hundred six billion, one hundred thirty-seven million, six hundred thousand".