105431472822 has 64 divisors (see below), whose sum is σ = 232017085440. Its totient is φ = 31736219904.

The previous prime is 105431472821. The next prime is 105431472829. The reversal of 105431472822 is 228274134501.

It is a happy number.

It is a super-2 number, since 2×105431472822² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105431472821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10820829 + ... + 10830567.

It is an arithmetic number, because the mean of its divisors is an integer number (3625266960).

Almost surely, 2^105431472822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105431472822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116008542720).

105431472822 is an abundant number, since it is smaller than the sum of its proper divisors (126585612618).

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

105431472822 is a wasteful number, since it uses less digits than its factorization.

105431472822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757.

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 105431472822 in words is "one hundred five billion, four hundred thirty-one million, four hundred seventy-two thousand, eight hundred twenty-two".