116436096 has 128 divisors (see below), whose sum is σ = 392822400. Its totient is φ = 33260544.

The previous prime is 116436091. The next prime is 116436107. The reversal of 116436096 is 690634611.

116436096 is a `hidden beast` number, since 1 + 1 + 6 + 43 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116436096.

It is not an unprimeable number, because it can be changed into a prime (116436091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21786 + ... + 26598.

It is an arithmetic number, because the mean of its divisors is an integer number (3068925).

Almost surely, 2^116436096 is an apocalyptic number.

116436096 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 116436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196411200).

116436096 is an abundant number, since it is smaller than the sum of its proper divisors (276386304).

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

116436096 is an equidigital number, since it uses as much as digits as its factorization.

116436096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 116436096 is about 10790.5558707603. Note that the first 3 decimals coincide. The cubic root of 116436096 is about 488.3102926716.

The spelling of 116436096 in words is "one hundred sixteen million, four hundred thirty-six thousand, ninety-six".