103821163992 has 512 divisors, whose sum is σ = 371472998400. Its totient is φ = 26135654400.

The previous prime is 103821163969. The next prime is 103821163997. The reversal of 103821163992 is 299361128301.

It is a happy number.

103821163992 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 2 + 1 + 1 + 639 + 9 + 2 = 666.

103821163992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103821163997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37875742 + ... + 37878482.

It is an arithmetic number, because the mean of its divisors is an integer number (725533200).

Almost surely, 2^103821163992 is an apocalyptic number.

103821163992 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 103821163992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185736499200).

103821163992 is an abundant number, since it is smaller than the sum of its proper divisors (267651834408).

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

103821163992 is a wasteful number, since it uses less digits than its factorization.

103821163992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 103821163992 in words is "one hundred three billion, eight hundred twenty-one million, one hundred sixty-three thousand, nine hundred ninety-two".