104021919372 has 192 divisors, whose sum is σ = 291124399104. Its totient is φ = 28292060160.

The previous prime is 104021919347. The next prime is 104021919401. The reversal of 104021919372 is 273919120401.

It is a super-3 number, since 3×104021919372³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104021919372.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30053722 + ... + 30057182.

It is an arithmetic number, because the mean of its divisors is an integer number (1516272912).

Almost surely, 2^104021919372 is an apocalyptic number.

104021919372 is a gapful number since it is divisible by the number (12) 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 104021919372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145562199552).

104021919372 is an abundant number, since it is smaller than the sum of its proper divisors (187102479732).

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

104021919372 is a wasteful number, since it uses less digits than its factorization.

104021919372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 104021919372 in words is "one hundred four billion, twenty-one million, nine hundred nineteen thousand, three hundred seventy-two".