116311104 has 252 divisors, whose sum is σ = 418964364. Its totient is φ = 30578688.

The previous prime is 116311099. The next prime is 116311109. The reversal of 116311104 is 401113611.

It is an interprime number because it is at equal distance from previous prime (116311099) and next prime (116311109).

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 105021504 = 3360^2 + 10248^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116311109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366754 + ... + 367070.

It is an arithmetic number, because the mean of its divisors is an integer number (1662557).

Almost surely, 2^116311104 is an apocalyptic number.

116311104 is a gapful number since it is divisible by the number (14) 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 116311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209482182).

116311104 is an abundant number, since it is smaller than the sum of its proper divisors (302653260).

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

116311104 is a wasteful number, since it uses less digits than its factorization.

116311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 116311104 is about 10784.7625843131. The cubic root of 116311104 is about 488.1354994154.

Adding to 116311104 its reverse (401113611), we get a palindrome (517424715).

The spelling of 116311104 in words is "one hundred sixteen million, three hundred eleven thousand, one hundred four".