1164106116 has 36 divisors (see below), whose sum is σ = 2975672700. Its totient is φ = 383674368.

The previous prime is 1164106109. The next prime is 1164106183. The reversal of 1164106116 is 6116014611.

It is a happy number.

1164106116 is a `hidden beast` number, since 1 + 1 + 6 + 41 + 0 + 611 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 407636100 + 756470016 = 20190^2 + 27504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1164106116.

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 11 ways as a sum of consecutive naturals, for example, 178461 + ... + 184868.

It is an arithmetic number, because the mean of its divisors is an integer number (82657575).

Almost surely, 2^1164106116 is an apocalyptic number.

It is an amenable number.

1164106116 is an abundant number, since it is smaller than the sum of its proper divisors (1811566584).

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

1164106116 is a wasteful number, since it uses less digits than its factorization.

1164106116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363428 (or 363423 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1164106116 is about 34118.9993405434. Note that the first 3 decimals coincide. The cubic root of 1164106116 is about 1051.9558755414.

The spelling of 1164106116 in words is "one billion, one hundred sixty-four million, one hundred six thousand, one hundred sixteen".