102081600 has 336 divisors, whose sum is σ = 396849600. Its totient is φ = 25436160.

The previous prime is 102081569. The next prime is 102081641. The reversal of 102081600 is 6180201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734331 + ... + 734469.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 2^102081600 is an apocalyptic number.

102081600 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 102081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198424800).

102081600 is an abundant number, since it is smaller than the sum of its proper divisors (294768000).

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

102081600 is a wasteful number, since it uses less digits than its factorization.

102081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102081600 is about 10103.5439327001. The cubic root of 102081600 is about 467.3574350576.

The spelling of 102081600 in words is "one hundred two million, eighty-one thousand, six hundred".