102225678264 has 384 divisors, whose sum is σ = 322336972800. Its totient is φ = 29903385600.

The previous prime is 102225678263. The next prime is 102225678271. The reversal of 102225678264 is 462876522201.

102225678264 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 567 + 82 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102225678263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88814089 + ... + 88815239.

It is an arithmetic number, because the mean of its divisors is an integer number (839419200).

Almost surely, 2^102225678264 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 102225678264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161168486400).

102225678264 is an abundant number, since it is smaller than the sum of its proper divisors (220111294536).

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

102225678264 is a wasteful number, since it uses less digits than its factorization.

102225678264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 102225678264 in words is "one hundred two billion, two hundred twenty-five million, six hundred seventy-eight thousand, two hundred sixty-four".