103931979984 has 800 divisors, whose sum is σ = 369458496000. Its totient is φ = 28165294080.

The previous prime is 103931979959. The next prime is 103931980001. The reversal of 103931979984 is 489979139301.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1167775012 + ... + 1167775100.

It is an arithmetic number, because the mean of its divisors is an integer number (461823120).

Almost surely, 2^103931979984 is an apocalyptic number.

103931979984 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 103931979984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184729248000).

103931979984 is an abundant number, since it is smaller than the sum of its proper divisors (265526516016).

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

103931979984 is an equidigital number, since it uses as much as digits as its factorization.

103931979984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 103931979984 in words is "one hundred three billion, nine hundred thirty-one million, nine hundred seventy-nine thousand, nine hundred eighty-four".