102730291200 has 864 divisors, whose sum is σ = 399236947200. Its totient is φ = 26130677760.

The previous prime is 102730291187. The next prime is 102730291201. The reversal of 102730291200 is 2192037201.

102730291200 is a `hidden beast` number, since 102 + 73 + 0 + 291 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102730291201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286156621 + ... + 286156979.

It is an arithmetic number, because the mean of its divisors is an integer number (462079800).

Almost surely, 2^102730291200 is an apocalyptic number.

102730291200 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 102730291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199618473600).

102730291200 is an abundant number, since it is smaller than the sum of its proper divisors (296506656000).

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

102730291200 is an equidigital number, since it uses as much as digits as its factorization.

102730291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 102730291200 in words is "one hundred two billion, seven hundred thirty million, two hundred ninety-one thousand, two hundred".