103986019260384 has 96 divisors (see below), whose sum is σ = 275630648267520. Its totient is φ = 34323337654272.

The previous prime is 103986019260373. The next prime is 103986019260391. The reversal of 103986019260384 is 483062910689301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162011007 + ... + 162651585.

It is an arithmetic number, because the mean of its divisors is an integer number (2871152586120).

Almost surely, 2^{103986019260384} 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 103986019260384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137815324133760).

103986019260384 is an abundant number, since it is smaller than the sum of its proper divisors (171644629007136).

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

103986019260384 is a wasteful number, since it uses less digits than its factorization.

103986019260384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657112 (or 657104 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 103986019260384 in words is "one hundred three trillion, nine hundred eighty-six billion, nineteen million, two hundred sixty thousand, three hundred eighty-four".