105504332193792 has 504 divisors, whose sum is σ = 357238274236272. Its totient is φ = 29913853132800.

The previous prime is 105504332193791. The next prime is 105504332193823. The reversal of 105504332193792 is 297391233405501.

105504332193792 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 4 + 3 + 3 + 219 + 379 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×105504332193792² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105504332193791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473148567 + ... + 473371497.

Almost surely, 2^{105504332193792} is an apocalyptic number.

105504332193792 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 105504332193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178619137118136).

105504332193792 is an abundant number, since it is smaller than the sum of its proper divisors (251733942042480).

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

105504332193792 is a wasteful number, since it uses less digits than its factorization.

105504332193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223108 (or 223074 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 105504332193792 in words is "one hundred five trillion, five hundred four billion, three hundred thirty-two million, one hundred ninety-three thousand, seven hundred ninety-two".