116655105042 has 160 divisors (see below), whose sum is σ = 301086720000. Its totient is φ = 33068816352.

The previous prime is 116655105037. The next prime is 116655105043. The reversal of 116655105042 is 240501556611.

116655105042 is a `hidden beast` number, since 1 + 1 + 66 + 551 + 0 + 5 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116655104988 and 116655105006.

It is not an unprimeable number, because it can be changed into a prime (116655105043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135173503 + ... + 135174365.

It is an arithmetic number, because the mean of its divisors is an integer number (1881792000).

Almost surely, 2^116655105042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116655105042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543360000).

116655105042 is an abundant number, since it is smaller than the sum of its proper divisors (184431614958).

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

116655105042 is a wasteful number, since it uses less digits than its factorization.

116655105042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 116655105042 in words is "one hundred sixteen billion, six hundred fifty-five million, one hundred five thousand, forty-two".