102061080900 has 243 divisors, whose sum is σ = 335142272829. Its totient is φ = 25976744640.

The previous prime is 102061080857. The next prime is 102061080907. The reversal of 102061080900 is 9080160201.

The square root of 102061080900 is 319470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36741989124 + 65319091776 = 191682^2 + 255576^2 .

It is not an unprimeable number, because it can be changed into a prime (102061080907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 220434069 + ... + 220434531.

Almost surely, 2^102061080900 is an apocalyptic number.

102061080900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102061080900 is the 319470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102061080900

102061080900 is an abundant number, since it is smaller than the sum of its proper divisors (233081191929).

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

102061080900 is a wasteful number, since it uses less digits than its factorization.

102061080900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 102061080900 in words is "one hundred two billion, sixty-one million, eighty thousand, nine hundred".