116105257 has 16 divisors (see below), whose sum is σ = 130723200. Its totient is φ = 102470400.

The previous prime is 116105243. The next prime is 116105263. The reversal of 116105257 is 752501611.

It is a cyclic number.

It is not a de Polignac number, because 116105257 - 2²³ = 107716649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116105657) 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 15 ways as a sum of consecutive naturals, for example, 30844 + ... + 34402.

It is an arithmetic number, because the mean of its divisors is an integer number (8170200).

Almost surely, 2^116105257 is an apocalyptic number.

116105257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

116105257 is a deficient number, since it is larger than the sum of its proper divisors (14617943).

116105257 is a wasteful number, since it uses less digits than its factorization.

116105257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 116105257 is about 10775.2149398515. The cubic root of 116105257 is about 487.8473625131.

Adding to 116105257 its reverse (752501611), we get a palindrome (868606868).

The spelling of 116105257 in words is "one hundred sixteen million, one hundred five thousand, two hundred fifty-seven".