10000116 has 54 divisors (see below), whose sum is σ = 29410290. Its totient is φ = 2856672.

The previous prime is 10000103. The next prime is 10000121. The reversal of 10000116 is 61100001.

10000116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7452900 + 2547216 = 2730^2 + 1596^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000098 and 10000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1071 + ... + 4598.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^10000116 is an apocalyptic number.

It is an amenable number.

10000116 is an abundant number, since it is smaller than the sum of its proper divisors (19410174).

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

10000116 is a wasteful number, since it uses less digits than its factorization.

10000116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10000116 is about 3162.2960013256. The cubic root of 10000116 is about 215.4443020480. Note that the first 3 decimals are identical.

Adding to 10000116 its reverse (61100001), we get a palindrome (71100117).

The spelling of 10000116 in words is "ten million, one hundred sixteen", and thus it is an aban number.