103984311024 has 120 divisors (see below), whose sum is σ = 318590418432. Its totient is φ = 31398917760.

The previous prime is 103984311019. The next prime is 103984311029. The reversal of 103984311024 is 420113489301.

103984311024 is a `hidden beast` number, since 103 + 98 + 431 + 10 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (103984311019) and next prime (103984311029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103984311024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103984311029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332289 + ... + 564255.

Almost surely, 2^103984311024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103984311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159295209216).

103984311024 is an abundant number, since it is smaller than the sum of its proper divisors (214606107408).

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

103984311024 is a wasteful number, since it uses less digits than its factorization.

103984311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232275 (or 232266 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 103984311024 in words is "one hundred three billion, nine hundred eighty-four million, three hundred eleven thousand, twenty-four".