116527104 has 156 divisors (see below), whose sum is σ = 351393900. Its totient is φ = 37158912.

The previous prime is 116527087. The next prime is 116527121. The reversal of 116527104 is 401725611.

It is a happy number.

116527104 is a `hidden beast` number, since 1 + 1 + 652 + 7 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (116527087) and next prime (116527121).

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 45158400 = 8448^2 + 6720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069002 + ... + 1069110.

It is an arithmetic number, because the mean of its divisors is an integer number (2252525).

Almost surely, 2^116527104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175696950).

116527104 is an abundant number, since it is smaller than the sum of its proper divisors (234866796).

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

116527104 is a wasteful number, since it uses less digits than its factorization.

116527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 116527104 is about 10794.7720679966. The cubic root of 116527104 is about 488.4374828109.

The spelling of 116527104 in words is "one hundred sixteen million, five hundred twenty-seven thousand, one hundred four".