105828521922 has 90 divisors (see below), whose sum is σ = 241662212649. Its totient is φ = 34615064880.

The previous prime is 105828521891. The next prime is 105828521927. The reversal of 105828521922 is 229125828501.

105828521922 is a `hidden beast` number, since 1 + 0 + 582 + 8 + 52 + 19 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71685243081 + 34143278841 = 267741^2 + 184779^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=230031.

It is a super-2 number, since 2×105828521922² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105828521927) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 252573829 + ... + 252574247.

Almost surely, 2^105828521922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105828521922

105828521922 is an abundant number, since it is smaller than the sum of its proper divisors (135833690727).

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

105828521922 is an frugal number, since it uses more digits than its factorization.

105828521922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 105828521922 in words is "one hundred five billion, eight hundred twenty-eight million, five hundred twenty-one thousand, nine hundred twenty-two".