105521403504000 has 512 divisors, whose sum is σ = 390478356702720. Its totient is φ = 24986035200000.

The previous prime is 105521403503951. The next prime is 105521403504007. The reversal of 105521403504000 is 405304125501.

It is a super-2 number, since 2×105521403504000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105521403504007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20380150 + ... + 25027850.

It is an arithmetic number, because the mean of its divisors is an integer number (762653040435).

Almost surely, 2^{105521403504000} is an apocalyptic number.

105521403504000 is a gapful number since it is divisible by the number (10) 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 105521403504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195239178351360).

105521403504000 is an abundant number, since it is smaller than the sum of its proper divisors (284956953198720).

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

105521403504000 is a wasteful number, since it uses less digits than its factorization.

105521403504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647787 (or 4647765 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105521403504000 its reverse (405304125501), we get a palindrome (105926707629501).

The spelling of 105521403504000 in words is "one hundred five trillion, five hundred twenty-one billion, four hundred three million, five hundred four thousand".