106228438848 has 280 divisors, whose sum is σ = 375529156992. Its totient is φ = 29031146496.

The previous prime is 106228438801. The next prime is 106228438859. The reversal of 106228438848 is 848834822601.

106228438848 is a `hidden beast` number, since 1 + 0 + 622 + 8 + 4 + 3 + 8 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×106228438848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106228438794 and 106228438803.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 770986 + ... + 898262.

Almost surely, 2^106228438848 is an apocalyptic number.

106228438848 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 106228438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187764578496).

106228438848 is an abundant number, since it is smaller than the sum of its proper divisors (269300718144).

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

106228438848 is a wasteful number, since it uses less digits than its factorization.

106228438848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127331 (or 127312 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 106228438848 in words is "one hundred six billion, two hundred twenty-eight million, four hundred thirty-eight thousand, eight hundred forty-eight".