105422164848 has 1800 divisors, whose sum is σ = 450739365120. Its totient is φ = 23436241920.

The previous prime is 105422164781. The next prime is 105422164873. The reversal of 105422164848 is 848461224501.

105422164848 is a `hidden beast` number, since 1 + 0 + 542 + 2 + 1 + 64 + 8 + 48 = 666.

It is a super-2 number, since 2×105422164848² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 2243024761 + ... + 2243024807.

Almost surely, 2^105422164848 is an apocalyptic number.

105422164848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105422164848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225369682560).

105422164848 is an abundant number, since it is smaller than the sum of its proper divisors (345317200272).

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

105422164848 is a wasteful number, since it uses less digits than its factorization.

105422164848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 105422164848 in words is "one hundred five billion, four hundred twenty-two million, one hundred sixty-four thousand, eight hundred forty-eight".