102272185600 has 216 divisors, whose sum is σ = 274786856960. Its totient is φ = 37460828160.

The previous prime is 102272185553. The next prime is 102272185607. The reversal of 102272185600 is 6581272201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102272185607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10561561 + ... + 10571239.

Almost surely, 2^102272185600 is an apocalyptic number.

102272185600 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 102272185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137393428480).

102272185600 is an abundant number, since it is smaller than the sum of its proper divisors (172514671360).

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

102272185600 is a wasteful number, since it uses less digits than its factorization.

102272185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9845 (or 9826 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 102272185600 in words is "one hundred two billion, two hundred seventy-two million, one hundred eighty-five thousand, six hundred".