1000108016 has 40 divisors (see below), whose sum is σ = 2052309120. Its totient is φ = 470805696.

The previous prime is 1000108009. The next prime is 1000108033. The reversal of 1000108016 is 6108010001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000107985 and 1000108003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39461 + ... + 59643.

It is an arithmetic number, because the mean of its divisors is an integer number (51307728).

Almost surely, 2^1000108016 is an apocalyptic number.

1000108016 is a gapful number since it is divisible by the number (16) 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 1000108016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026154560).

1000108016 is an abundant number, since it is smaller than the sum of its proper divisors (1052201104).

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

1000108016 is a wasteful number, since it uses less digits than its factorization.

1000108016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20373 (or 20367 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1000108016 is about 31624.4844384853. The cubic root of 1000108016 is about 1000.0360040370.

Adding to 1000108016 its reverse (6108010001), we get a palindrome (7108118017).

The spelling of 1000108016 in words is "one billion, one hundred eight thousand, sixteen".