105346211022 has 96 divisors (see below), whose sum is σ = 247046436000. Its totient is φ = 32251355136.

The previous prime is 105346211017. The next prime is 105346211023. The reversal of 105346211022 is 220112643501.

105346211022 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 621 + 10 + 22 = 666.

It is a super-2 number, since 2×105346211022² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105346211023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44021458 + ... + 44023850.

It is an arithmetic number, because the mean of its divisors is an integer number (2573400375).

Almost surely, 2^105346211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105346211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123523218000).

105346211022 is an abundant number, since it is smaller than the sum of its proper divisors (141700224978).

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

105346211022 is a wasteful number, since it uses less digits than its factorization.

105346211022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 105346211022 its reverse (220112643501), we get a palindrome (325458854523).

The spelling of 105346211022 in words is "one hundred five billion, three hundred forty-six million, two hundred eleven thousand, twenty-two".