2687105316100 has 144 divisors (see below), whose sum is σ = 5961645930240. Its totient is φ = 1050975590400.

The previous prime is 2687105316089. The next prime is 2687105316101. The reversal of 2687105316100 is 16135017862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2687105316101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948500284 + ... + 948503116.

It is an arithmetic number, because the mean of its divisors is an integer number (41400318960).

Almost surely, 2^{2687105316100} is an apocalyptic number.

2687105316100 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 2687105316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980822965120).

2687105316100 is an abundant number, since it is smaller than the sum of its proper divisors (3274540614140).

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

2687105316100 is a wasteful number, since it uses less digits than its factorization.

2687105316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 2687105316100 in words is "two trillion, six hundred eighty-seven billion, one hundred five million, three hundred sixteen thousand, one hundred".