116106012 has 72 divisors (see below), whose sum is σ = 321375600. Its totient is φ = 35051520.

The previous prime is 116105999. The next prime is 116106043. The reversal of 116106012 is 210601611.

116106012 is a `hidden beast` number, since 1 + 1 + 61 + 0 + 601 + 2 = 666.

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

It is a congruent number.

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, 177478 + ... + 178130.

It is an arithmetic number, because the mean of its divisors is an integer number (4463550).

Almost surely, 2^116106012 is an apocalyptic number.

116106012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

116106012 is the 5388-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116106012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160687800).

116106012 is an abundant number, since it is smaller than the sum of its proper divisors (205269588).

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

116106012 is a wasteful number, since it uses less digits than its factorization.

116106012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 116106012 is about 10775.2499738985. The cubic root of 116106012 is about 487.8484199558.

Adding to 116106012 its reverse (210601611), we get a palindrome (326707623).

The spelling of 116106012 in words is "one hundred sixteen million, one hundred six thousand, twelve".