102073608000 has 1344 divisors, whose sum is σ = 466848066048. Its totient is φ = 21499084800.

The previous prime is 102073607863. The next prime is 102073608037. The reversal of 102073608000 is 806370201.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×102073608000³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176903712 + ... + 176904288.

It is an arithmetic number, because the mean of its divisors is an integer number (347357192).

Almost surely, 2^102073608000 is an apocalyptic number.

102073608000 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 102073608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233424033024).

102073608000 is an abundant number, since it is smaller than the sum of its proper divisors (364774458048).

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

102073608000 is an equidigital number, since it uses as much as digits as its factorization.

102073608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 607 counting only the distinct ones).

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

Adding to 102073608000 its reverse (806370201), we get a palindrome (102879978201).

The spelling of 102073608000 in words is "one hundred two billion, seventy-three million, six hundred eight thousand".