116507104 has 72 divisors (see below), whose sum is σ = 271048680. Its totient is φ = 49142016.

The previous prime is 116507101. The next prime is 116507113. The reversal of 116507104 is 401705611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116507101) 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 11 ways as a sum of consecutive naturals, for example, 104502 + ... + 105610.

It is an arithmetic number, because the mean of its divisors is an integer number (3764565).

Almost surely, 2^116507104 is an apocalyptic number.

116507104 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 116507104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135524340).

116507104 is an abundant number, since it is smaller than the sum of its proper divisors (154541576).

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

116507104 is a wasteful number, since it uses less digits than its factorization.

116507104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 116507104 is about 10793.8456538900. The cubic root of 116507104 is about 488.4095370705.

It can be divided in two parts, 116507 and 104, that added together give a palindrome (116611).

The spelling of 116507104 in words is "one hundred sixteen million, five hundred seven thousand, one hundred four".