1150105680 has 60 divisors (see below), whose sum is σ = 3862440660. Its totient is φ = 306694656.

The previous prime is 1150105661. The next prime is 1150105711. The reversal of 1150105680 is 865010511.

It can be written as a sum of positive squares in 2 ways, for example, as 129686544 + 1020419136 = 11388^2 + 31944^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 797965 + ... + 799404.

It is an arithmetic number, because the mean of its divisors is an integer number (64374011).

Almost surely, 2^1150105680 is an apocalyptic number.

1150105680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1150105680 is an abundant number, since it is smaller than the sum of its proper divisors (2712334980).

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

1150105680 is a wasteful number, since it uses less digits than its factorization.

1150105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597388 (or 1597379 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1150105680 is about 33913.2080464234. The cubic root of 1150105680 is about 1047.7216448936.

The spelling of 1150105680 in words is "one billion, one hundred fifty million, one hundred five thousand, six hundred eighty".