102238905216 has 512 divisors, whose sum is σ = 347083315200. Its totient is φ = 25978208256.

The previous prime is 102238905211. The next prime is 102238905271. The reversal of 102238905216 is 612509832201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102238905211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93539166 + ... + 93540258.

It is an arithmetic number, because the mean of its divisors is an integer number (677897100).

Almost surely, 2^102238905216 is an apocalyptic number.

102238905216 is a gapful number since it is divisible by the number (16) 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 102238905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173541657600).

102238905216 is an abundant number, since it is smaller than the sum of its proper divisors (244844409984).

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

102238905216 is a wasteful number, since it uses less digits than its factorization.

102238905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 102238905216 in words is "one hundred two billion, two hundred thirty-eight million, nine hundred five thousand, two hundred sixteen".