116116001 has 8 divisors (see below), whose sum is σ = 124962984. Its totient is φ = 107493120.

The previous prime is 116115997. The next prime is 116116003. The reversal of 116116001 is 100611611.

It can be written as a sum of positive squares in 4 ways, for example, as 4264225 + 111851776 = 2065^2 + 10576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 116116001 - 2² = 116115997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116116003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54950 + ... + 57023.

It is an arithmetic number, because the mean of its divisors is an integer number (15620373).

Almost surely, 2^116116001 is an apocalyptic number.

It is an amenable number.

116116001 is a deficient number, since it is larger than the sum of its proper divisors (8846983).

116116001 is a wasteful number, since it uses less digits than its factorization.

116116001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112051.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 116116001 is about 10775.7134798583. The cubic root of 116116001 is about 487.8624099811.

Adding to 116116001 its reverse (100611611), we get a palindrome (216727612).

The spelling of 116116001 in words is "one hundred sixteen million, one hundred sixteen thousand, one".