6887340100 has 81 divisors (see below), whose sum is σ = 15380872983. Its totient is φ = 2676925440.

The previous prime is 6887340073. The next prime is 6887340113. The reversal of 6887340100 is 10437886.

It is a happy number.

The square root of 6887340100 is 82990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1107691524 + 5779648576 = 33282^2 + 76024^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6887340100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35685604 + ... + 35685796.

Almost surely, 2^6887340100 is an apocalyptic number.

6887340100 is the 82990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6887340100

6887340100 is an abundant number, since it is smaller than the sum of its proper divisors (8493532883).

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

6887340100 is a wasteful number, since it uses less digits than its factorization.

6887340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The cubic root of 6887340100 is about 1902.6132185928.

Adding to 6887340100 its reverse (10437886), we get a palindrome (6897777986).

The spelling of 6887340100 in words is "six billion, eight hundred eighty-seven million, three hundred forty thousand, one hundred".