102289197600 has 252 divisors, whose sum is σ = 374401118826. Its totient is φ = 27276963840.

The previous prime is 102289197599. The next prime is 102289197643. The reversal of 102289197600 is 6791982201.

102289197600 is a `hidden beast` number, since 1 + 0 + 2 + 28 + 9 + 19 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56607829776 + 45681367824 = 237924^2 + 213732^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 495504 + ... + 670896.

Almost surely, 2^102289197600 is an apocalyptic number.

102289197600 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 102289197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200559413).

102289197600 is an abundant number, since it is smaller than the sum of its proper divisors (272111921226).

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

102289197600 is an equidigital number, since it uses as much as digits as its factorization.

102289197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175431 (or 175403 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 102289197600 in words is "one hundred two billion, two hundred eighty-nine million, one hundred ninety-seven thousand, six hundred".