103562818099072 has 256 divisors, whose sum is σ = 229038185779200. Its totient is φ = 46425364070400.

The previous prime is 103562818099049. The next prime is 103562818099087. The reversal of 103562818099072 is 270990818265301.

It is a super-3 number, since 3×103562818099072³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103562818099072.

It is a congruent number.

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, 3079551954 + ... + 3079585582.

It is an arithmetic number, because the mean of its divisors is an integer number (894680413200).

Almost surely, 2^{103562818099072} 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 103562818099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114519092889600).

103562818099072 is an abundant number, since it is smaller than the sum of its proper divisors (125475367680128).

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

103562818099072 is a wasteful number, since it uses less digits than its factorization.

103562818099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34405 (or 34393 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 103562818099072 in words is "one hundred three trillion, five hundred sixty-two billion, eight hundred eighteen million, ninety-nine thousand, seventy-two".