102106228224 has 960 divisors, whose sum is σ = 380878122240. Its totient is φ = 23884922880.

The previous prime is 102106228157. The next prime is 102106228283. The reversal of 102106228224 is 422822601201.

It is a junction number, because it is equal to n+sod(n) for n = 102106228191 and 102106228200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570425767 + ... + 570425945.

It is an arithmetic number, because the mean of its divisors is an integer number (396748044).

Almost surely, 2^102106228224 is an apocalyptic number.

102106228224 is a gapful number since it is divisible by the number (14) 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 102106228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190439061120).

102106228224 is an abundant number, since it is smaller than the sum of its proper divisors (278771894016).

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

102106228224 is a wasteful number, since it uses less digits than its factorization.

102106228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 102106228224 its reverse (422822601201), we get a palindrome (524928829425).

The spelling of 102106228224 in words is "one hundred two billion, one hundred six million, two hundred twenty-eight thousand, two hundred twenty-four".