116106336 has 72 divisors (see below), whose sum is σ = 335822760. Its totient is φ = 38040576.

The previous prime is 116106317. The next prime is 116106349. The reversal of 116106336 is 633601611.

It is a happy number.

116106336 is a `hidden beast` number, since 1 + 16 + 10 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13576 + ... + 20408.

It is an arithmetic number, because the mean of its divisors is an integer number (4664205).

Almost surely, 2^116106336 is an apocalyptic number.

116106336 is a gapful number since it is divisible by the number (16) 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 116106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167911380).

116106336 is an abundant number, since it is smaller than the sum of its proper divisors (219716424).

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

116106336 is a wasteful number, since it uses less digits than its factorization.

116106336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 116106336 is about 10775.2650083420. The cubic root of 116106336 is about 487.8488737444.

Adding to 116106336 its reverse (633601611), we get a palindrome (749707947).

The spelling of 116106336 in words is "one hundred sixteen million, one hundred six thousand, three hundred thirty-six".