105991423283200 has 624 divisors, whose sum is σ = 330362840424960. Its totient is φ = 32830689116160.

The previous prime is 105991423283167. The next prime is 105991423283287. The reversal of 105991423283200 is 2382324199501.

It is a super-2 number, since 2×105991423283200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437843796 + ... + 438085804.

Almost surely, 2^{105991423283200} is an apocalyptic number.

105991423283200 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 105991423283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165181420212480).

105991423283200 is an abundant number, since it is smaller than the sum of its proper divisors (224371417141760).

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

105991423283200 is a wasteful number, since it uses less digits than its factorization.

105991423283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242110 (or 242083 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 105991423283200 in words is "one hundred five trillion, nine hundred ninety-one billion, four hundred twenty-three million, two hundred eighty-three thousand, two hundred".