116306112 has 112 divisors (see below), whose sum is σ = 351019872. Its totient is φ = 33669120.

The previous prime is 116306107. The next prime is 116306117. The reversal of 116306112 is 211603611.

It is an interprime number because it is at equal distance from previous prime (116306107) and next prime (116306117).

It is a super-2 number, since 2×116306112² = 27054223377113088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116306117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41062 + ... + 43802.

It is an arithmetic number, because the mean of its divisors is an integer number (3134106).

Almost surely, 2^116306112 is an apocalyptic number.

116306112 is a gapful number since it is divisible by the number (12) 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 116306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175509936).

116306112 is an abundant number, since it is smaller than the sum of its proper divisors (234713760).

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

116306112 is a wasteful number, since it uses less digits than its factorization.

116306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 116306112 is about 10784.5311441898. The cubic root of 116306112 is about 488.1285158251.

Adding to 116306112 its reverse (211603611), we get a palindrome (327909723).

The spelling of 116306112 in words is "one hundred sixteen million, three hundred six thousand, one hundred twelve".