1161105732 has 192 divisors, whose sum is σ = 3342662400. Its totient is φ = 347120640.

The previous prime is 1161105731. The next prime is 1161105767. The reversal of 1161105732 is 2375011611.

1161105732 is a `hidden beast` number, since 11 + 611 + 0 + 5 + 7 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1161105696 and 1161105705.

It is not an unprimeable number, because it can be changed into a prime (1161105731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3112698 + ... + 3113070.

It is an arithmetic number, because the mean of its divisors is an integer number (17409700).

Almost surely, 2^1161105732 is an apocalyptic number.

1161105732 is a gapful number since it is divisible by the number (12) 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 1161105732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671331200).

1161105732 is an abundant number, since it is smaller than the sum of its proper divisors (2181556668).

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

1161105732 is a wasteful number, since it uses less digits than its factorization.

1161105732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1161105732 is about 34075.0015700660. The cubic root of 1161105732 is about 1051.0513225122.

The spelling of 1161105732 in words is "one billion, one hundred sixty-one million, one hundred five thousand, seven hundred thirty-two".