1016106516 has 18 divisors (see below), whose sum is σ = 2568491562. Its totient is φ = 338702160.

The previous prime is 1016106461. The next prime is 1016106547. The reversal of 1016106516 is 6156016101.

1016106516 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 0 + 651 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1007427600 + 8678916 = 31740^2 + 2946^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1016106516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14112555 + ... + 14112626.

Almost surely, 2^1016106516 is an apocalyptic number.

It is an amenable number.

1016106516 is an abundant number, since it is smaller than the sum of its proper divisors (1552385046).

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

1016106516 is a wasteful number, since it uses less digits than its factorization.

1016106516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28225191 (or 28225186 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1016106516 is about 31876.4257092918. The cubic root of 1016106516 is about 1005.3402694237.

The spelling of 1016106516 in words is "one billion, sixteen million, one hundred six thousand, five hundred sixteen".