102409027200 has 1152 divisors, whose sum is σ = 410402304000. Its totient is φ = 24196423680.

The previous prime is 102409027187. The next prime is 102409027229. The reversal of 102409027200 is 2720904201.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 994262349 + ... + 994262451.

It is an arithmetic number, because the mean of its divisors is an integer number (356252000).

Almost surely, 2^102409027200 is an apocalyptic number.

102409027200 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 102409027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205201152000).

102409027200 is an abundant number, since it is smaller than the sum of its proper divisors (307993276800).

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

102409027200 is a wasteful number, since it uses less digits than its factorization.

102409027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 102409027200 in words is "one hundred two billion, four hundred nine million, twenty-seven thousand, two hundred".