1016111106 has 48 divisors (see below), whose sum is σ = 2300159160. Its totient is φ = 323769600.

The previous prime is 1016111081. The next prime is 1016111111. The reversal of 1016111106 is 6011116101.

It can be written as a sum of positive squares in 4 ways, for example, as 1016015625 + 95481 = 31875^2 + 309^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43086 + ... + 62358.

Almost surely, 2^1016111106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016111106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150079580).

1016111106 is an abundant number, since it is smaller than the sum of its proper divisors (1284048054).

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

1016111106 is a wasteful number, since it uses less digits than its factorization.

1016111106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19411 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1016111106 is about 31876.4977059902. The cubic root of 1016111106 is about 1005.3417832102.

Adding to 1016111106 its reverse (6011116101), we get a palindrome (7027227207).

The spelling of 1016111106 in words is "one billion, sixteen million, one hundred eleven thousand, one hundred six".