102203038080 has 768 divisors, whose sum is σ = 417663267840. Its totient is φ = 22703063040.

The previous prime is 102203038079. The next prime is 102203038099. The reversal of 102203038080 is 80830302201.

102203038080 is a `hidden beast` number, since 1 + 0 + 2 + 203 + 0 + 380 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137554189 + ... + 137554931.

It is an arithmetic number, because the mean of its divisors is an integer number (543832380).

Almost surely, 2^102203038080 is an apocalyptic number.

102203038080 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 102203038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208831633920).

102203038080 is an abundant number, since it is smaller than the sum of its proper divisors (315460229760).

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

102203038080 is a wasteful number, since it uses less digits than its factorization.

102203038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 102203038080 in words is "one hundred two billion, two hundred three million, thirty-eight thousand, eighty".