105047839008 has 768 divisors, whose sum is σ = 391252377600. Its totient is φ = 26739486720.

The previous prime is 105047838979. The next prime is 105047839019. The reversal of 105047839008 is 800938740501.

It is a super-2 number, since 2×105047839008² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131803666 + ... + 131804462.

It is an arithmetic number, because the mean of its divisors is an integer number (509443200).

Almost surely, 2^105047839008 is an apocalyptic number.

105047839008 is a gapful number since it is divisible by the number (18) 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 105047839008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195626188800).

105047839008 is an abundant number, since it is smaller than the sum of its proper divisors (286204538592).

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

105047839008 is a wasteful number, since it uses less digits than its factorization.

105047839008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 105047839008 in words is "one hundred five billion, forty-seven million, eight hundred thirty-nine thousand, eight".