8013839106 has 128 divisors (see below), whose sum is σ = 20033395200. Its totient is φ = 2080899072.

The previous prime is 8013839063. The next prime is 8013839123. The reversal of 8013839106 is 6019383108.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17847970 + ... + 17848418.

It is an arithmetic number, because the mean of its divisors is an integer number (156510900).

Almost surely, 2^8013839106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8013839106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016697600).

8013839106 is an abundant number, since it is smaller than the sum of its proper divisors (12019556094).

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

8013839106 is a wasteful number, since it uses less digits than its factorization.

8013839106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 8013839106 is about 89520.0486259922. The cubic root of 8013839106 is about 2001.1525944687.

The spelling of 8013839106 in words is "eight billion, thirteen million, eight hundred thirty-nine thousand, one hundred six".