102034442224 has 120 divisors (see below), whose sum is σ = 233820637200. Its totient is φ = 42758277120.

The previous prime is 102034442197. The next prime is 102034442267. The reversal of 102034442224 is 422244430201.

It is a super-2 number, since 2×102034442224² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102034442192 and 102034442201.

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 23 ways as a sum of consecutive naturals, for example, 31794732 + ... + 31797940.

It is an arithmetic number, because the mean of its divisors is an integer number (1948505310).

Almost surely, 2^102034442224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102034442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116910318600).

102034442224 is an abundant number, since it is smaller than the sum of its proper divisors (131786194976).

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

102034442224 is a wasteful number, since it uses less digits than its factorization.

102034442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 102034442224 its reverse (422244430201), we get a palindrome (524278872425).

The spelling of 102034442224 in words is "one hundred two billion, thirty-four million, four hundred forty-two thousand, two hundred twenty-four".