116106372 has 84 divisors (see below), whose sum is σ = 315374220. Its totient is φ = 37340352.

The previous prime is 116106349. The next prime is 116106373. The reversal of 116106372 is 273601611.

116106372 is a `hidden beast` number, since 1 + 16 + 10 + 637 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95531076 + 20575296 = 9774^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116106373) 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 27 ways as a sum of consecutive naturals, for example, 83878 + ... + 85250.

It is an arithmetic number, because the mean of its divisors is an integer number (3754455).

Almost surely, 2^116106372 is an apocalyptic number.

116106372 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 116106372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157687110).

116106372 is an abundant number, since it is smaller than the sum of its proper divisors (199267848).

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

116106372 is a wasteful number, since it uses less digits than its factorization.

116106372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 116106372 is about 10775.2666788345. The cubic root of 116106372 is about 487.8489241653.

Adding to 116106372 its reverse (273601611), we get a palindrome (389707983).

The spelling of 116106372 in words is "one hundred sixteen million, one hundred six thousand, three hundred seventy-two".