103879726337280 has 144 divisors (see below), whose sum is σ = 331846628408064. Its totient is φ = 27694517821440.

The previous prime is 103879726337251. The next prime is 103879726337281. The reversal of 103879726337280 is 82733627978301.

It is a super-3 number, since 3×103879726337280³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103879726337281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12496042 + ... + 19076438.

It is an arithmetic number, because the mean of its divisors is an integer number (2304490475056).

Almost surely, 2^{103879726337280} is an apocalyptic number.

103879726337280 is a gapful number since it is divisible by the number (10) 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 103879726337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165923314204032).

103879726337280 is an abundant number, since it is smaller than the sum of its proper divisors (227966902070784).

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

103879726337280 is an equidigital number, since it uses as much as digits as its factorization.

103879726337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584532 (or 6584518 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 103879726337280 in words is "one hundred three trillion, eight hundred seventy-nine billion, seven hundred twenty-six million, three hundred thirty-seven thousand, two hundred eighty".