105424432811808 has 192 divisors, whose sum is σ = 319735972588032. Its totient is φ = 30060042670080.

The previous prime is 105424432811779. The next prime is 105424432811821. The reversal of 105424432811808 is 808118234424501.

It is a super-2 number, since 2×105424432811808² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 71128335 + ... + 72595377.

It is an arithmetic number, because the mean of its divisors is an integer number (1665291523896).

Almost surely, 2^{105424432811808} 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 105424432811808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159867986294016).

105424432811808 is an abundant number, since it is smaller than the sum of its proper divisors (214311539776224).

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

105424432811808 is a wasteful number, since it uses less digits than its factorization.

105424432811808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471087 (or 1471079 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 105424432811808 in words is "one hundred five trillion, four hundred twenty-four billion, four hundred thirty-two million, eight hundred eleven thousand, eight hundred eight".