1079759106 has 64 divisors (see below), whose sum is σ = 2458460160. Its totient is φ = 351121680.

The previous prime is 1079759053. The next prime is 1079759119. The reversal of 1079759106 is 6019579701.

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 31 ways as a sum of consecutive naturals, for example, 1184791 + ... + 1185701.

It is an arithmetic number, because the mean of its divisors is an integer number (38413440).

Almost surely, 2^1079759106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079759106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229230080).

1079759106 is an abundant number, since it is smaller than the sum of its proper divisors (1378701054).

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

1079759106 is a wasteful number, since it uses less digits than its factorization.

1079759106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 1079759106 is about 32859.6881604193. The cubic root of 1079759106 is about 1025.9092803068.

The spelling of 1079759106 in words is "one billion, seventy-nine million, seven hundred fifty-nine thousand, one hundred six".