1013179104 has 240 divisors, whose sum is σ = 3585859200. Its totient is φ = 274150656.

The previous prime is 1013179099. The next prime is 1013179129. The reversal of 1013179104 is 4019713101.

1013179104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343267 + ... + 346205.

It is an arithmetic number, because the mean of its divisors is an integer number (14941080).

Almost surely, 2^1013179104 is an apocalyptic number.

1013179104 is a gapful number since it is divisible by the number (14) 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 1013179104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792929600).

1013179104 is an abundant number, since it is smaller than the sum of its proper divisors (2572680096).

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

1013179104 is a wasteful number, since it uses less digits than its factorization.

1013179104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1013179104 is about 31830.4744545224. The cubic root of 1013179104 is about 1004.3738759836.

The spelling of 1013179104 in words is "one billion, thirteen million, one hundred seventy-nine thousand, one hundred four".