2131787106 has 128 divisors (see below), whose sum is σ = 5044838400. Its totient is φ = 666325440.

The previous prime is 2131787093. The next prime is 2131787107. The reversal of 2131787106 is 6017871312.

It is not an unprimeable number, because it can be changed into a prime (2131787107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9309000 + ... + 9309228.

It is an arithmetic number, because the mean of its divisors is an integer number (39412800).

Almost surely, 2^2131787106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131787106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522419200).

2131787106 is an abundant number, since it is smaller than the sum of its proper divisors (2913051294).

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

2131787106 is a wasteful number, since it uses less digits than its factorization.

2131787106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2131787106 is about 46171.2800992132. The cubic root of 2131787106 is about 1287.0080905377.

The spelling of 2131787106 in words is "two billion, one hundred thirty-one million, seven hundred eighty-seven thousand, one hundred six".