11516106 has 48 divisors (see below), whose sum is σ = 28092096. Its totient is φ = 3072384.

The previous prime is 11516101. The next prime is 11516111. The reversal of 11516106 is 60161511.

It is an interprime number because it is at equal distance from previous prime (11516101) and next prime (11516111).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11516101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90615 + ... + 90741.

It is an arithmetic number, because the mean of its divisors is an integer number (585252).

Almost surely, 2^11516106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11516106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046048).

11516106 is an abundant number, since it is smaller than the sum of its proper divisors (16575990).

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

11516106 is a wasteful number, since it uses less digits than its factorization.

11516106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11516106 is about 3393.5388608354. The cubic root of 11516106 is about 225.8231968811.

Adding to 11516106 its reverse (60161511), we get a palindrome (71677617).

The spelling of 11516106 in words is "eleven million, five hundred sixteen thousand, one hundred six".