103821823981824 has 288 divisors, whose sum is σ = 307639258424064. Its totient is φ = 30875937177600.

The previous prime is 103821823981807. The next prime is 103821823981873. The reversal of 103821823981824 is 428189328128301.

It is a happy number.

It is a super-2 number, since 2×103821823981824² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54849982 + ... + 56711234.

It is an arithmetic number, because the mean of its divisors is an integer number (1068191869528).

Almost surely, 2^{103821823981824} 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 103821823981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153819629212032).

103821823981824 is an abundant number, since it is smaller than the sum of its proper divisors (203817434442240).

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

103821823981824 is a wasteful number, since it uses less digits than its factorization.

103821823981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861473 (or 1861459 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 103821823981824 in words is "one hundred three trillion, eight hundred twenty-one billion, eight hundred twenty-three million, nine hundred eighty-one thousand, eight hundred twenty-four".