105827454408 has 128 divisors (see below), whose sum is σ = 286258452480. Its totient is φ = 32409780480.

The previous prime is 105827454401. The next prime is 105827454503. The reversal of 105827454408 is 804454728501.

It is a happy number.

It is a super-2 number, since 2×105827454408² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105827454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82483735 + ... + 82485017.

It is an arithmetic number, because the mean of its divisors is an integer number (2236394160).

Almost surely, 2^105827454408 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 105827454408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143129226240).

105827454408 is an abundant number, since it is smaller than the sum of its proper divisors (180430998072).

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

105827454408 is a wasteful number, since it uses less digits than its factorization.

105827454408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 48.

The spelling of 105827454408 in words is "one hundred five billion, eight hundred twenty-seven million, four hundred fifty-four thousand, four hundred eight".