102224002320 has 600 divisors, whose sum is σ = 405036700992. Its totient is φ = 23695372800.

The previous prime is 102224002277. The next prime is 102224002367. The reversal of 102224002320 is 23200422201.

102224002320 is a `hidden beast` number, since 1 + 0 + 222 + 400 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102224002293 and 102224002302.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37705765 + ... + 37708475.

Almost surely, 2^102224002320 is an apocalyptic number.

102224002320 is a gapful number since it is divisible by the number (10) 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 102224002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202518350496).

102224002320 is an abundant number, since it is smaller than the sum of its proper divisors (302812698672).

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

102224002320 is a wasteful number, since it uses less digits than its factorization.

102224002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102224002320 its reverse (23200422201), we get a palindrome (125424424521).

The spelling of 102224002320 in words is "one hundred two billion, two hundred twenty-four million, two thousand, three hundred twenty".