116077104 has 160 divisors (see below), whose sum is σ = 391641600. Its totient is φ = 32451840.

The previous prime is 116077079. The next prime is 116077133. The reversal of 116077104 is 401770611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60837 + ... + 62715.

It is an arithmetic number, because the mean of its divisors is an integer number (2447760).

Almost surely, 2^116077104 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 116077104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195820800).

116077104 is an abundant number, since it is smaller than the sum of its proper divisors (275564496).

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

116077104 is a wasteful number, since it uses less digits than its factorization.

116077104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 116077104 is about 10773.9084829972. The cubic root of 116077104 is about 487.8079285334.

The spelling of 116077104 in words is "one hundred sixteen million, seventy-seven thousand, one hundred four".