105789374423040 has 1344 divisors, whose sum is σ = 430266293867520. Its totient is φ = 21946548879360.

The previous prime is 105789374422973. The next prime is 105789374423063. The reversal of 105789374423040 is 40324473987501.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×105789374423040² (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 95 ways as a sum of consecutive naturals, for example, 66828410089 + ... + 66828411671.

Almost surely, 2^{105789374423040} is an apocalyptic number.

105789374423040 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 105789374423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215133146933760).

105789374423040 is an abundant number, since it is smaller than the sum of its proper divisors (324476919444480).

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

105789374423040 is a wasteful number, since it uses less digits than its factorization.

105789374423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 105789374423040 in words is "one hundred five trillion, seven hundred eighty-nine billion, three hundred seventy-four million, four hundred twenty-three thousand, forty".